LeetCode Maximum Product Subarray

Description

Given a sequence of integers S = {S1, S2, . . . , Sn}, you should determine what is the value of the maximum positive product involving consecutive terms of S. If you cannot find a positive sequence, you should consider 0 as the value of the maximum product.

Input

Each test case starts with 1 ≤ N ≤ 18, the number of elements in a sequence. Each element Si is an integer such that −10 ≤ Si ≤ 10. Next line will have N integers, representing the value of each element in the sequence. There is a blank line after each test case. The input is terminated by end of file (EOF).

Output

For each test case you must print the message: ‘Case #M: The maximum product is P.’, where M is the number of the test case, starting from 1, and P is the value of the maximum product. After each test case you must print a blank line.

Sample Input

3 2 4 -3 5 2 5 -1 2 -1

Sample Output

Case #1: The maximum product is 8.

Case #2: The maximum product is 20.

题意:

输入n个元素组成的序列S,你需要找出一个乘积最大的连续子序列。如果这个最大的乘积不是正数,应输出0(表示无解)。每个案例要用空格隔开。

题解:

连续子序列有两个要素:起点和终点,因此只需枚举起点和终点即可。

只要给最大值赋初值0,大于0才给最大值重新赋值,则任何负数最后输出都会为0,不需分开考虑。

注意:最大值要用long long类。

#include<iostream>
#include<cstdio>
using namespace std;
int a[];
int main()
{
int k=,t;
while(scanf("%d",&t)==)
{
long long maxn=;
for(int i=; i<t; i++)
cin>>a[i];
for(int i=; i<t; i++)
{
long long q=;
for(int j=i; j<t; j++)
{
q=q*a[j];
if(q>maxn)
maxn=q;
}
}
k++;
printf("Case #%d: The maximum product is %lld.\n",k,maxn);
printf("\n"); // 注意格式啊
}
return ;
}

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