drei

模拟9 T3
（COGS上也有，链接http://218.28.19.228/cogs/problem/problem.php?pid=1428）
题目描述
　　输入a，p，求最小正整数x，使得a^x mod p = 1。
分析
　　神奇的欧拉定理（对于gcd（a，n）= 1）
　　特殊情况单独判
　　不特殊的话，先求phi(p)
　　之后，ans一定是p的因数（这个不会证明T^T）
　　于是，就把phi（p）一个质因数一个质因数的试试，能除出来就除出来，剩的就是最小的。
　　（无视那个逗比的素数表，那只是模仿ZZX的习惯而已←_←）
  1 /**************************************************
  2           Origin: Simulation 9 Problem 3
  3           Author: Xue Zhonghao
  4           Data: 2014-4-10 17:52:46 
  5           State: Accepted
  6 **************************************************/
  7 #include<cstdio>
  8 #include<cmath>
  9 #include<iostream>
 10 #include<fstream>
 11 using namespace std;
 12 ifstream fin("drei.in");
 13 ofstream fout("drei.out");
 14 
 15 #define LL unsigned long long
 16 
 17 int A;
 18 
 19 int prime[3401] = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 
 20 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 
 21 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 
 22 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 
 23 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 
 24 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 
 25 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 
 26 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 
 27 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 
 28 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 
 29 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 
 30 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 
 31 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 
 32 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 
 33 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 
 34 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 
 35 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 
 36 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 
 37 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 
 38 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 
 39 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 
 40 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 
 41 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 
 42 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 
 43 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 
 44 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 
 45 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 
 46 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 
 47 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 
 48 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 
 49 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 
 50 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 
 51 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 
 52 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 
 53 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 
 54 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 
 55 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 
 56 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 
 57 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 
 58 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 
 59 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 
 60 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 
 61 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 
 62 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 
 63 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 
 64 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 
 65 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 
 66 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 
 67 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 
 68 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 
 69 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 
 70 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 
 71 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 
 72 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 
 73 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 
 74 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 
 75 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 
 76 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 
 77 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 
 78 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 
 79 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 
 80 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 
 81 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 
 82 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 
 83 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 
 84 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 
 85 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 
 86 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 
 87 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 
 88 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 
 89 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 
 90 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 
 91 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 
 92 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 
 93 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 
 94 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 
 95 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 
 96 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 
 97 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 
 98 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 
 99 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 
100 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 
101 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 
102 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 
103 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 
104 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 
105 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 
106 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 
107 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 
108 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 
109 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 
110 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 
111 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 
112 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 
113 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 
114 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 
115 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 
116 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 
117 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 
118 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 
119 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 
120 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 
121 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 
122 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 
123 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 
124 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 
125 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 
126 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 
127 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 
128 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 
129 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 
130 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 
131 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 
132 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 
133 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 
134 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 
135 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 
136 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, 
137 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 
138 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 
139 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 
140 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 
141 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, 
142 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 
143 10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, 
144 10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, 
145 10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, 
146 10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, 
147 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, 
148 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, 
149 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 
150 10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 
151 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 
152 10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 
153 11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, 
154 11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, 
155 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, 
156 11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443, 
157 11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, 
158 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 
159 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777, 
160 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 
161 11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 
162 11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 
163 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 
164 12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, 
165 12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, 
166 12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 
167 12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, 
168 12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, 
169 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, 
170 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, 
171 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, 
172 12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, 
173 12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 
174 13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 
175 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, 
176 13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, 
177 13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411, 
178 13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, 
179 13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619, 
180 13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 13693, 13697, 
181 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 13781, 
182 13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 
183 13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967, 
184 13997, 13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, 
185 14083, 14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, 
186 14207, 14221, 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, 
187 14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 14411, 14419, 
188 14423, 14431, 14437, 14447, 14449, 14461, 14479, 14489, 14503, 14519, 
189 14533, 14537, 14543, 14549, 14551, 14557, 14561, 14563, 14591, 14593, 
190 14621, 14627, 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, 
191 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 14759, 14767, 
192 14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 14851, 
193 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947, 
194 14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 
195 15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149, 
196 15161, 15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, 
197 15263, 15269, 15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319, 
198 15329, 15331, 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401, 
199 15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 15493, 15497, 
200 15511, 15527, 15541, 15551, 15559, 15569, 15581, 15583, 15601, 15607, 
201 15619, 15629, 15641, 15643, 15647, 15649, 15661, 15667, 15671, 15679, 
202 15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, 
203 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 15881, 
204 15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971, 
205 15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069, 
206 16073, 16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 
207 16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267, 
208 16273, 16301, 16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381, 
209 16411, 16417, 16421, 16427, 16433, 16447, 16451, 16453, 16477, 16481, 
210 16487, 16493, 16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603, 
211 16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, 16673, 16691, 
212 16693, 16699, 16703, 16729, 16741, 16747, 16759, 16763, 16787, 16811, 
213 16823, 16829, 16831, 16843, 16871, 16879, 16883, 16889, 16901, 16903, 
214 16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993, 
215 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093, 
216 17099, 17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191, 
217 17203, 17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317, 
218 17321, 17327, 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 
219 17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467, 17471, 17477, 
220 17483, 17489, 17491, 17497, 17509, 17519, 17539, 17551, 17569, 17573, 
221 17579, 17581, 17597, 17599, 17609, 17623, 17627, 17657, 17659, 17669, 
222 17681, 17683, 17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783, 
223 17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, 17881, 17891, 
224 17903, 17909, 17911, 17921, 17923, 17929, 17939, 17957, 17959, 17971, 
225 17977, 17981, 17987, 17989, 18013, 18041, 18043, 18047, 18049, 18059, 
226 18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143, 
227 18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233, 
228 18251, 18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313, 
229 18329, 18341, 18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427, 
230 18433, 18439, 18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517, 
231 18521, 18523, 18539, 18541, 18553, 18583, 18587, 18593, 18617, 18637, 
232 18661, 18671, 18679, 18691, 18701, 18713, 18719, 18731, 18743, 18749, 
233 18757, 18773, 18787, 18793, 18797, 18803, 18839, 18859, 18869, 18899, 
234 18911, 18913, 18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009, 
235 19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 19087, 19121, 
236 19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 19219, 
237 19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309, 19319, 
238 19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423, 
239 19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477, 
240 19483, 19489, 19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571, 
241 19577, 19583, 19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699, 
242 19709, 19717, 19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793, 
243 19801, 19813, 19819, 19841, 19843, 19853, 19861, 19867, 19889, 19891, 
244 19913, 19919, 19927, 19937, 19949, 19961, 19963, 19973, 19979, 19991, 
245 19993, 19997, 20011, 20021, 20023, 20029, 20047, 20051, 20063, 20071, 
246 20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149, 
247 20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 20261, 
248 20269, 20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357, 
249 20359, 20369, 20389, 20393, 20399, 20407, 20411, 20431, 20441, 20443, 
250 20477, 20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551, 
251 20563, 20593, 20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693, 
252 20707, 20717, 20719, 20731, 20743, 20747, 20749, 20753, 20759, 20771, 
253 20773, 20789, 20807, 20809, 20849, 20857, 20873, 20879, 20887, 20897, 
254 20899, 20903, 20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983, 
255 21001, 21011, 21013, 21017, 21019, 21023, 21031, 21059, 21061, 21067, 
256 21089, 21101, 21107, 21121, 21139, 21143, 21149, 21157, 21163, 21169, 
257 21179, 21187, 21191, 21193, 21211, 21221, 21227, 21247, 21269, 21277, 
258 21283, 21313, 21317, 21319, 21323, 21341, 21347, 21377, 21379, 21383, 
259 21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491, 
260 21493, 21499, 21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563, 
261 21569, 21577, 21587, 21589, 21599, 21601, 21611, 21613, 21617, 21647, 
262 21649, 21661, 21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751, 
263 21757, 21767, 21773, 21787, 21799, 21803, 21817, 21821, 21839, 21841, 
264 21851, 21859, 21863, 21871, 21881, 21893, 21911, 21929, 21937, 21943, 
265 21961, 21977, 21991, 21997, 22003, 22013, 22027, 22031, 22037, 22039, 
266 22051, 22063, 22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123, 
267 22129, 22133, 22147, 22153, 22157, 22159, 22171, 22189, 22193, 22229, 
268 22247, 22259, 22271, 22273, 22277, 22279, 22283, 22291, 22303, 22307, 
269 22343, 22349, 22367, 22369, 22381, 22391, 22397, 22409, 22433, 22441, 
270 22447, 22453, 22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543, 
271 22549, 22567, 22571, 22573, 22613, 22619, 22621, 22637, 22639, 22643, 
272 22651, 22669, 22679, 22691, 22697, 22699, 22709, 22717, 22721, 22727, 
273 22739, 22741, 22751, 22769, 22777, 22783, 22787, 22807, 22811, 22817, 
274 22853, 22859, 22861, 22871, 22877, 22901, 22907, 22921, 22937, 22943, 
275 22961, 22963, 22973, 22993, 23003, 23011, 23017, 23021, 23027, 23029, 
276 23039, 23041, 23053, 23057, 23059, 23063, 23071, 23081, 23087, 23099, 
277 23117, 23131, 23143, 23159, 23167, 23173, 23189, 23197, 23201, 23203, 
278 23209, 23227, 23251, 23269, 23279, 23291, 23293, 23297, 23311, 23321, 
279 23327, 23333, 23339, 23357, 23369, 23371, 23399, 23417, 23431, 23447, 
280 23459, 23473, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 23561, 
281 23563, 23567, 23581, 23593, 23599, 23603, 23609, 23623, 23627, 23629, 
282 23633, 23663, 23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743, 
283 23747, 23753, 23761, 23767, 23773, 23789, 23801, 23813, 23819, 23827, 
284 23831, 23833, 23857, 23869, 23873, 23879, 23887, 23893, 23899, 23909, 
285 23911, 23917, 23929, 23957, 23971, 23977, 23981, 23993, 24001, 24007, 
286 24019, 24023, 24029, 24043, 24049, 24061, 24071, 24077, 24083, 24091, 
287 24097, 24103, 24107, 24109, 24113, 24121, 24133, 24137, 24151, 24169, 
288 24179, 24181, 24197, 24203, 24223, 24229, 24239, 24247, 24251, 24281, 
289 24317, 24329, 24337, 24359, 24371, 24373, 24379, 24391, 24407, 24413, 
290 24419, 24421, 24439, 24443, 24469, 24473, 24481, 24499, 24509, 24517, 
291 24527, 24533, 24547, 24551, 24571, 24593, 24611, 24623, 24631, 24659, 
292 24671, 24677, 24683, 24691, 24697, 24709, 24733, 24749, 24763, 24767, 
293 24781, 24793, 24799, 24809, 24821, 24841, 24847, 24851, 24859, 24877, 
294 24889, 24907, 24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977, 
295 24979, 24989, 25013, 25031, 25033, 25037, 25057, 25073, 25087, 25097, 
296 25111, 25117, 25121, 25127, 25147, 25153, 25163, 25169, 25171, 25183, 
297 25189, 25219, 25229, 25237, 25243, 25247, 25253, 25261, 25301, 25303, 
298 25307, 25309, 25321, 25339, 25343, 25349, 25357, 25367, 25373, 25391, 
299 25409, 25411, 25423, 25439, 25447, 25453, 25457, 25463, 25469, 25471, 
300 25523, 25537, 25541, 25561, 25577, 25579, 25583, 25589, 25601, 25603, 
301 25609, 25621, 25633, 25639, 25643, 25657, 25667, 25673, 25679, 25693, 
302 25703, 25717, 25733, 25741, 25747, 25759, 25763, 25771, 25793, 25799, 
303 25801, 25819, 25841, 25847, 25849, 25867, 25873, 25889, 25903, 25913, 
304 25919, 25931, 25933, 25939, 25943, 25951, 25969, 25981, 25997, 25999, 
305 26003, 26017, 26021, 26029, 26041, 26053, 26083, 26099, 26107, 26111, 
306 26113, 26119, 26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203, 
307 26209, 26227, 26237, 26249, 26251, 26261, 26263, 26267, 26293, 26297, 
308 26309, 26317, 26321, 26339, 26347, 26357, 26371, 26387, 26393, 26399, 
309 26407, 26417, 26423, 26431, 26437, 26449, 26459, 26479, 26489, 26497, 
310 26501, 26513, 26539, 26557, 26561, 26573, 26591, 26597, 26627, 26633, 
311 26641, 26647, 26669, 26681, 26683, 26687, 26693, 26699, 26701, 26711, 
312 26713, 26717, 26723, 26729, 26731, 26737, 26759, 26777, 26783, 26801, 
313 26813, 26821, 26833, 26839, 26849, 26861, 26863, 26879, 26881, 26891, 
314 26893, 26903, 26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987, 
315 26993, 27011, 27017, 27031, 27043, 27059, 27061, 27067, 27073, 27077, 
316 27091, 27103, 27107, 27109, 27127, 27143, 27179, 27191, 27197, 27211, 
317 27239, 27241, 27253, 27259, 27271, 27277, 27281, 27283, 27299, 27329, 
318 27337, 27361, 27367, 27397, 27407, 27409, 27427, 27431, 27437, 27449, 
319 27457, 27479, 27481, 27487, 27509, 27527, 27529, 27539, 27541, 27551, 
320 27581, 27583, 27611, 27617, 27631, 27647, 27653, 27673, 27689, 27691, 
321 27697, 27701, 27733, 27737, 27739, 27743, 27749, 27751, 27763, 27767, 
322 27773, 27779, 27791, 27793, 27799, 27803, 27809, 27817, 27823, 27827, 
323 27847, 27851, 27883, 27893, 27901, 27917, 27919, 27941, 27943, 27947, 
324 27953, 27961, 27967, 27983, 27997, 28001, 28019, 28027, 28031, 28051, 
325 28057, 28069, 28081, 28087, 28097, 28099, 28109, 28111, 28123, 28151, 
326 28163, 28181, 28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283, 
327 28289, 28297, 28307, 28309, 28319, 28349, 28351, 28387, 28393, 28403, 
328 28409, 28411, 28429, 28433, 28439, 28447, 28463, 28477, 28493, 28499, 
329 28513, 28517, 28537, 28541, 28547, 28549, 28559, 28571, 28573, 28579, 
330 28591, 28597, 28603, 28607, 28619, 28621, 28627, 28631, 28643, 28649, 
331 28657, 28661, 28663, 28669, 28687, 28697, 28703, 28711, 28723, 28729, 
332 28751, 28753, 28759, 28771, 28789, 28793, 28807, 28813, 28817, 28837, 
333 28843, 28859, 28867, 28871, 28879, 28901, 28909, 28921, 28927, 28933, 
334 28949, 28961, 28979, 29009, 29017, 29021, 29023, 29027, 29033, 29059, 
335 29063, 29077, 29101, 29123, 29129, 29131, 29137, 29147, 29153, 29167, 
336 29173, 29179, 29191, 29201, 29207, 29209, 29221, 29231, 29243, 29251, 
337 29269, 29287, 29297, 29303, 29311, 29327, 29333, 29339, 29347, 29363, 
338 29383, 29387, 29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443, 
339 29453, 29473, 29483, 29501, 29527, 29531, 29537, 29567, 29569, 29573, 
340 29581, 29587, 29599, 29611, 29629, 29633, 29641, 29663, 29669, 29671, 
341 29683, 29717, 29723, 29741, 29753, 29759, 29761, 29789, 29803, 29819, 
342 29833, 29837, 29851, 29863, 29867, 29873, 29879, 29881, 29917, 29921, 
343 29927, 29947, 29959, 29983, 29989, 30011, 30013, 30029, 30047, 30059, 
344 30071, 30089, 30091, 30097, 30103, 30109, 30113, 30119, 30133, 30137, 
345 30139, 30161, 30169, 30181, 30187, 30197, 30203, 30211, 30223, 30241, 
346 30253, 30259, 30269, 30271, 30293, 30307, 30313, 30319, 30323, 30341, 
347 30347, 30367, 30389, 30391, 30403, 30427, 30431, 30449, 30467, 30469, 
348 30491, 30493, 30497, 30509, 30517, 30529, 30539, 30553, 30557, 30559, 
349 30577, 30593, 30631, 30637, 30643, 30649, 30661, 30671, 30677, 30689, 
350 30697, 30703, 30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803, 
351 30809, 30817, 30829, 30839, 30841, 30851, 30853, 30859, 30869, 30871, 
352 30881, 30893, 30911, 30931, 30937, 30941, 30949, 30971, 30977, 30983, 
353 31013, 31019, 31033, 31039, 31051, 31063, 31069, 31079, 31081, 31091, 
354 31121, 31123, 31139, 31147, 31151, 31153, 31159, 31177, 31181, 31183, 
355 31189, 31193, 31219, 31223, 31231, 31237, 31247, 31249, 31253, 31259, 
356 31267, 31271, 31277, 31307, 31319, 31321, 31327, 31333, 31337, 31357, 
357 31379, 31387, 31391, 31393, 31397, 31469, 31477, 31481, 31489, 31511, 
358 31513, 31517, 31531, 31541, 31543, 31547, 31567, 31573, 31583, 31601, 
359 31607};
360 
361 int phi(int x) {
362     if(x == 1) return 1;
363     int ans = x;
364     int i;
365     for(i = 0; i < 3401 && x > 1; ++i)
366       if(x % prime[i] == 0) {
367         ans /= prime[i];
368         ans *= prime[i] - 1;
369         do x /= prime[i]; while (x % prime[i] == 0);
370       }
371     if(x != 1) {
372       ans /= x;
373       ans *= x - 1;
374     }
375     return ans;
376 }
377 
378 bool can(int n, int p) {
379     LL a = 1, b = A;
380     while(n) {
381       if(n & 1) a = a * b % p;
382       b = b * b % p;
383       n >>= 1;
384     }
385     if(a == 1) return true;
386     else return false;
387 }
388 
389 int process(int x, int p) {
390     int k = x;
391     for(int i = 0; i < 3401 && prime[i] <= x; ++i)
392       if(x % prime[i] == 0) {
393         while(k % prime[i] == 0 && can(k/prime[i], p)) k /= prime[i];
394         do x /= prime[i]; while(x % prime[i] == 0);
395       }
396     return k;
397 }
398 
399 int gcd(int a, int b) {
400     return b == 0 ? a : gcd(b, a%b);
401 }
402 
403 int main(void)
404 {
405     int T, P;
406     int x, ans;
407     fin>>T;
408     for(int i = 0; i < T; ++i) {
409       fin>>A>>P;
410       if(A % P == 1) {
411         fout<<'1'<<endl;
412         continue;
413       }
414       if(P == 1 || A == 0 || gcd(A, P) > 1) {
415         fout<<"-1"<<endl;
416         continue;
417       }
418       x = phi(P);
419       ans = process(x, P);
420       fout<<ans<<endl;
421     }
422     return 0;
423 }