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Maximum Product Subarray

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.

这道题A了很久也没A出来,看了http://blog.csdn.net/salutlu/article/details/39560795做出来了

思路DP

max只可能来自三种情况

1.max * A[i]  // A[i] > 0

2.min * A[i]   //A[i] < 0

3.A[i]

当然min也只可能来自这三种情况

 1 public class Solution { 2     public int maxProduct(int[] A) { 3         if(A.length == 0) 4             return 0; 5         if(1 == A.length) 6             return A[0]; 7         int curMin = A[0]; 8         int curMax = A[0]; 9         int ret = A[0];10         11         for(int i = 1; i < A.length; i++){12             int temp = curMin * A[i];13             14             curMin = Math.min(A[i], Math.min(temp, curMax * A[i]));15             curMax = Math.max(A[i], Math.max(temp, curMax * A[i]));16             17             ret = ret > curMax ? ret:curMax;18         }19         return ret;20     }21 }

 

Maximum Product Subarray