Maximum Subarray

Find the contiguous subarray within an array (containing at least one number) which has the largest sum.

For example, given the array [−2,1,−3,4,−1,2,1,−5,4],
the contiguous subarray [4,−1,2,1] has the largest sum = 6.

int maxSubArray(int* nums, int numsSize) {
    int max = 0, tmp = 0;
    if(numsSize == 0)
        return 0;
    max = tmp = nums[0];
    for(int i = 1; i < numsSize; i++)
    {
        if(max < 0)    //当一开始就为负时，没必要加了，只需要比较那个大；因为越加越小
        {
            if(nums[i] > max)
                max= nums[i];
                tmp = nums[i];
        }
        else    //出现了正数以后就可以比较最后一个和是否小于0；如果小于0就没比较继续加了，可以重新开始
        {
            tmp += nums[i];
            if(tmp < 0)
                tmp = 0;
            else if(max < tmp) 
                max = tmp;
        }
    }
    return max;
}

• 原来这是最简单的动态规划