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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
.
最直接了当的方法,当然是暴力穷举,但是是无法通过测试的。以下给出了O(n)时间复杂度的解决方法,C++实现。
class Solution {public: int maxProduct(int A[], int n) { int nMaxPro = A[0]; int max_tmp = A[0]; int min_tmp = A[0]; for(int i = 1; i< n; ++i){ int a = A[i] * max_tmp; int b = A[i] * min_tmp; max_tmp = (( a > b ? a : b ) > A[i]) ? ( a > b ? a : b ) : A[i]; min_tmp = (( a < b ? a : b ) < A[i]) ? ( a < b ? a : b ) : A[i]; nMaxPro = (nMaxPro > max_tmp) ? nMaxPro : max_tmp; } return nMaxPro; }};
Maximum Product Subarray
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