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152. Maximum Product Subarray (Array; DP)

时间:2016-12-12 01:36:49      阅读:186      评论:0      收藏:0      [点我收藏+]

标签:oba   oca   ret   maximum   within   nbsp   span   style   表示   

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.

思路:类似Maximum Subarray,不同的是

  • max(max_local*nums[i], nums[i])表示:如果之前的数max_local和nums[i]符号相反,那么nums[i]会是max
  • max(max(max_local*nums[i], nums[i]), min_local*nums[i])表示:如果nums[i]是个负数,那么就可能和min_local组成局部最优=>这是为什么我们要设置min_local
class Solution {
public:
    int maxProduct(vector<int>& nums) {
         int max_local = nums[0];
         int min_local = nums[0];
         int max_copy;
         int global = nums[0];
         
         for(int i = 1; i < nums.size(); i++){
              max_copy = max_local;
              max_local = max(max(max_local*nums[i], nums[i]), min_local*nums[i]);
              min_local = min(min(max_copy*nums[i], nums[i]), min_local*nums[i]);
              global = max(global,max_local);
         }
         
         return global;
    }
};

 

152. Maximum Product Subarray (Array; DP)

标签:oba   oca   ret   maximum   within   nbsp   span   style   表示   

原文地址:http://www.cnblogs.com/qionglouyuyu/p/6161000.html

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