Maximum Product

本文介绍了一个算法问题,即给定一个整数序列,如何找出该序列中连续子序列的最大正乘积,并提供了一段C语言实现代码作为示例。

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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


#include<stdio.h>
#include<string.h>


int s[20];


int main()
{
    int cas = 1;
    int n;


    while(~scanf("%d",&n))
    {
        for(int i=0; i<n; i++)
        {
            scanf("%d",&s[i]);
        }
        long long maxn = 0;
        long long sum;
        for(int i=0; i<n; i++)///起点
        {
            for(int j=i; j<n; j++)///终点
            {
                sum = 1;

                for(int k=i; k<=j; k++)///查找范围
                {
                    sum *= s[k];
                }
                if(sum > maxn)///更新数据
                {
                    maxn = sum;
                }
            }
        }
        printf("Case #%d: The maximum product is %lld.\n\n",cas++,maxn);
    }
}

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