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
.
这和Maximum Subarray有些类似,Maximum Subarray求的是最大和,这里求的是连续子数组的最大乘积
考虑到整数和负数,用currentmax表示包含到当前A[i]节点的最大乘积,currentmin表示包含到当前节点A[i]的最小乘积,即乘积的最小值。
res记录遍历过程中最大的结果
class Solution {
public:
#define MAX(a,b,c) (((a>b)?a:b)>c)?((a>b)?a:b):c
#define MIN(a,b,c) (((a<b)?a:b)<c)?((a<b)?a:b):c
int maxProduct(int A[], int n) {
//currentmax=MAX{A[i],currentmax*A[i],currentmin*A[i]}
//currentmin=MIN{A[i],currentmax*A[i],currentmin*A[i]}
//res=MAX{res,currentmax,currentmin}
int currentmax;
int currentmin;
int res;
if(n<=0)
return 0;
if(n==1)
return A[0];
currentmax=currentmin=res=A[0];
for(int i=1;i<n;i++)
{
int temp1=currentmax*A[i];
int temp2=currentmin*A[i];
currentmax=MAX(A[i],temp1,temp2);
currentmin=MIN(A[i],temp1,temp2);
//res=(((currentmax>currentmin)?currentmax:currentmin)>res)?((currentmax>currentmin)?currentmax:currentmin):res;
res=MAX(res,currentmax,currentmin);
}
return res;
}
};