路径:
P3911 最小公倍数之和 - 洛谷 | 计算机科学教育新生态 (luogu.com.cn)
思路:
代码:
#define _CRT_SECURE_NO_WARNINGS
#include<iostream>
#include<string>
#include<cstring>
#include<cmath>
#include<ctime>
#include<algorithm>
#include<utility>
#include<stack>
#include<queue>
#include<vector>
#include<set>
#include<map>
using namespace std;
const int N = 5e4 + 100;
#define LL long long
const LL mod = 998244353;
int cn, pre[N], su[N], mu[N], n;
LL F[N];
LL ans;
string s;
void into()
{
mu[1] = su[1] = su[0] = 1;
for (int i = 2; i <N; i++)
{
if (!su[i]) pre[++cn] = i, mu[i] = -1;
for (int j = 1; j <= cn && (LL)pre[j] * i <N; j++)
{
su[pre[j] * i] = 1;
if (i % pre[j] == 0) break;
mu[pre[j] * i] = -mu[i];
}
}
}
int main() {
cin >> n;
into();
int ma = 0;
for (int i = 1; i <= n; i++)
{
int x;
cin >> x;
ma = max(ma, x);
for (int i = 1; i * i <= x; i++)
{
if (x % i == 0)
{
F[i] += x;
if (i * i != x) F[x / i] += x;
}
}
}
for (int d = 1; d <=ma; d++)
{
LL cnt = 0;
for (int x = d; x <= ma; x += d)
if (mu[x / d]) cnt += mu[x / d] * F[x] * F[x];
ans += cnt / d;
}
cout << ans << endl;
return 0;
}