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Continuous Subarray Sum

2017-09-14 02:14 459 查看
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.

preSum一下,然后做差判断是否符合条件

代码:

public boolean checkSubarraySum(int[] nums, int k) {
if(nums == null || nums.length < 2) return false;

int[] preSum = new int[nums.length+1];
int sum = 0;
for(int i=1;i<=nums.length;i++) {
sum += nums[i-1];
preSum[i] = sum;
}

for(int i=0;i<nums.length;i++) {
for(int j=i+2;j<=nums.length;j++) {
if(k == 0 && ((preSum[j] == preSum[i]))) return true;
if(k != 0 && (((preSum[j] - preSum[i]) % k) == 0)) return true;
}
}
return false;
}
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