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【Leetcode】Maximum Product Subarray

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

For example, given the array [2,3,-2,4],
the contiguous subarray [2,3] has the largest product = 6.

类似于求连续子序列最大和,但是乘法还涉及到符号的问题,比较方便的方法是同时维护到当前元素的最大乘积和最小乘积。

 1 class Solution { 2 public: 3     int maxProduct(int A[], int n) { 4          5         int max_ending_here = A[0]; 6         int min_ending_here = A[0]; 7          8         int max_so_far = A[0]; 9         10         for (int i = 1; i < n; ++i) {11             int p_max = A[i] * max_ending_here;12             int p_min = A[i] * min_ending_here;13             14             max_ending_here = max(A[i], max(p_max, p_min));15             min_ending_here = min(A[i], min(p_max, p_min));16             17             max_so_far = max(max_so_far, max_ending_here);18         }19         20         return max_so_far;21     }22 };

 

【Leetcode】Maximum Product Subarray