UVA 674 Coin Change （DP）

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Suppose there are 5 types of coins: 50-cent, 25-cent, 10-cent, 5-cent, and 1-cent. We want to make changes with these coins for a given amount of money.

For example, if we have 11 cents, then we can make changes with one 10-cent coin and one 1-cent coin, two 5-cent coins and one 1-cent coin, one 5-cent coin and six 1-cent coins, or eleven 1-cent coins. So there are four ways of making changes for 11 cents with the above coins. Note that we count that there is one way of making change for zero cent.

Write a program to find the total number of different ways of making changes for any amount of money in cents. Your program should be able to handle up to 7489 cents.

Input 

Output 

Sample Input 

11
26

Sample Output 

4
13

5种面值钱币，要求出兑换某个钱的方法总数：

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<limits.h>
typedef long long LL;
using namespace std;
int v[5]={1,5,10,25,50};
int dp[100000];
int main()
{
    int n;
    while(~scanf("%d",&n))
    {
        memset(dp,0,sizeof(dp));
        dp[0]=1;
        for(int i=0;i<5;i++)
        {
            for(int j=v[i];j<=n;j++)
               dp[j]+=dp[j-v[i]];

        }
        printf("%d\n",dp[n]);
    }
    return 0;
}

UVA 674 Coin Change （DP）

标签：style   color   io   os   ar   for   sp   on   cti   

原文地址：http://blog.csdn.net/u013582254/article/details/40008731