给定一个未排序的整数数组 nums
,找出数字连续的最长序列(不要求序列元素在原数组中连续)的长度。
请你设计并实现时间复杂度为 O(n)
的算法解决此问题。
示例 1:
输入:nums = [100,4,200,1,3,2]
输出:4
解释:最长数字连续序列是 [1, 2, 3, 4]。它的长度为 4。
示例 2:
输入:nums = [0,3,7,2,5,8,4,6,0,1] 输出:9
提示:
0 <= nums.length <= 105
-109 <= nums[i] <= 109
题目链接:
128. 最长连续序列 - 力扣(LeetCode)
暴力破解
class Solution {
public:int longestConsecutive(vector<int>& nums) {set<int> nums_set; //无序存储,基本操作的复杂度大多为常数级for(const int num:nums){nums_set.insert(num);}int longestStreak = 0;auto it = nums_set.begin();int last_num = *it;int currentStreak = 1;it ++;for (; it != nums_set.end(); it++){if((*it) == (last_num + 1)){currentStreak++;}else{currentStreak = 1;}longestStreak = longestStreak < currentStreak?currentStreak : longestStreak;last_num = (*it); }return longestStreak;}
};
思路:哈希表
class Solution {
public:int longestConsecutive(vector<int>& nums) {unordered_set<int> nums_set; //无序存储,基本操作的复杂度大多为常数级for(const int num:nums){nums_set.insert(num);}int longestStreak = 0;for(int num : nums_set){if(nums_set.count(num - 1) == 0){ //它返回元素在集合中出现的次数。set容器仅包含唯一元素,因此只能返回1或0int currentNum = num;int currentStreak = 1;while(nums_set.count(currentNum + 1)){currentNum ++;currentStreak ++;}longestStreak = longestStreak < currentStreak ? currentStreak : longestStreak;}}return longestStreak;}
};