Maximum Subarray (最大子数组)

题目描述:

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.

    这道题很经典,《算法导论》上有相关讨论,但是没有介绍本文的这种解法。这道题其实不难,写的时候要记得考虑输入全为负数这种情况。

solution:

int maxSubArray(vector<int>& nums) {
    if (nums.empty())
        return INT_MIN;
    int max = nums[0];
    int sum = nums[0];
    for (int i = 1; i < nums.size(); ++i)
    {
        if (sum < 0)
            sum = nums[i];
        else
            sum += nums[i];
        if (sum > max)
            max = sum;
    }
    return max;
}

 

posted @ 2015-08-09 18:35  Sawyer Ford  阅读(172)  评论(0编辑  收藏  举报