Continuous Subarray Sum
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题目描述:
Given a list of non-negative numbers and a target integer k, write a function to check if the array has a continuous subarray of size at least 2 that sums up to the multiple of k, that is, sums up to n*k where n is also an integer.
Example 1:
Input: [23, 2, 4, 6, 7], k=6
Output: True
Explanation: Because [2, 4] is a continuous subarray of size 2 and sums up to 6.
Example 2:
Input: [23, 2, 6, 4, 7], k=6
Output: True
Explanation: Because [23, 2, 6, 4, 7] is an continuous subarray of size 5 and sums up to 42.
Note:
The length of the array won’t exceed 10,000.
You may assume the sum of all the numbers is in the range of a signed 32-bit integer.
分析:
显然,当前i个的和对k的取余,等于前i+x,x>=2对k的取余时,有解,以此动态规划,其中特判0和第一位。
代码如下:
bool checkSubarraySum(vector<int>& nums, int k) { // if(k<0) k=-k; if(k==0){ for(int i=1;i<nums.size();i++){ if(nums[i]==0&&nums[i-1]==0) return 1; } return 0; } int len=nums.size(); int now=0; int temp; set<int>ans; ans.insert(0); for(int i=0;i<len;i++){ now+=nums[i]; if(ans.count(now%k)&&i!=0) return 1; ans.insert(temp); temp=now%k; } return 0; }
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