152. Maximum Product Subarray
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Find the contiguous subarray within an array (containing at least one number) which has the largest product.
For example, given the array
the contiguous subarray
思路:[2,3,-2,4]
,the contiguous subarray
[2,3]
has the largest product = 6
.Maximum Subarray那题的变种。由于正负得负,负负得正的关系。以A[i]结尾的max product subarray同时取决于以A[i-1]结尾的max / min product subarray以及A[i]本身。因此,对每个i,需要记录min/max product两个状态:
max_product[i] = max(max_product[i-1]*A[i], min_product[i-1]*A[i], A[i])
min_product[i] = min(max_product[i-1]*A[i], min_product[i-1]*A[i], A[i])
class Solution {public: int maxProduct(int A[], int n) { if(n<=0) return 0; int ret, curMax, curMin; ret = curMax = curMin = A[0]; for(int i=1; i<n; i++) { int temp = curMax; //注意这里要保存curMax原来的值,因为下面一行代码将会改变curMax curMax = max(max(curMax*A[i], curMin*A[i]),A[i]); curMin = min(min(temp*A[i], curMin*A[i]),A[i]); ret = max(ret, curMax); } return ret; }};
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- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
- 152. Maximum Product Subarray
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- 152. Maximum Product Subarray
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