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LeetCode-Maximum Product Subarray
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题目信息:
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
.
解题思路: 习惯最小字符串的和,突然来了一道最小字符串的乘积,也挺有意思。
分两种情况讨论:字符数组中无0,有0。两种情况。
(1)字符数组中无0
字符数组中,其实就两种,偶数个负数,奇数个负数。
1,偶数个负数,例如 [ -1 2 3 -4 5],很明显最大的字符串就是全部。
2,奇数个负数,例如 [-2 2 5 -4 -3], 最大的字符串就是,第一个负数后面的子串[2 5 -4 -3].
所以综上所述,最大字符串就只有两种情况,一种是全部字符串,一种是第一个负数后面的字符串。所以只要存储这两种情况下的值, 再进行比较就能得出最后结果。
(2)字符串中有0
前面能实现,我们就把0后的数组,当成一个新的数组就能实现了。例如[5 6 -5 0 2 3 8 9 -5],就可以把0后面的数组看成新数组就行
[2 3 8 9 -5];
代码:
class Solution { public: int maxProduct(int A[], int n) { int preNum1 = 1; //Remember all the Numbers int preNum2 = 1; //Remember all the Behind Numbers of first negative bool start2; int answers ; if(n == 0) return 0; if(n > 0) answers = A[0]; int negSum = 0; for(size_t i = 0; i != n;i++) { preNum1 *= A[i]; //cout<<"preNum1="<<preNum1<<endl; answers = (preNum1 > answers? preNum1:answers); if(start2 == true) { preNum2 *= A[i]; //cout<<"preNum2="<<preNum2<<endl; answers = (preNum2 > answers? preNum2:answers); } if(A[i] < 0) { negSum ++; } if(negSum == 1 && start2 == false) { start2 = true; preNum2 = 1; } if(A[i] == 0) { answers = (answers > 0) ? answers : 0; preNum1 = 1; preNum2 = 1; negSum = 0; start2 = false; } } return answers; } };转载请注明作者:vanish_dust
LeetCode-Maximum Product Subarray