BZOJ 1606: [Usaco2008 Dec]Hay For Sale 购买干草

Description

约翰遭受了重大的损失：蟑螂吃掉了他所有的干草，留下一群饥饿的牛．他乘着容量为C(1≤C≤50000)个单位的马车，去顿因家买一些干草．顿因有H(1≤H≤5000)包干草，每一包都有它的体积Vi(l≤Vi≤C).约翰只能整包购买，

他最多可以运回多少体积的干草呢？

Input

第1行输入C和H，之后H行一行输入一个Vi．

Output

最多的可买干草体积．

Sample Input

7 3 //总体积为7,用3个物品来背包
2
6
5

The wagon holds 7 volumetric units; three bales are offered for sale with
volumes of 2, 6, and 5 units, respectively.

Sample Output

7 //最大可以背出来的体积

HINT

Buying the two smaller bales fills the wagon.

题解

水题，背包dp。将费用和价格视为一样的值即可。

#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<iostream>
#include<cmath>
using namespace std;
int n,m,a[5002],f[50002];
int main()
{scanf("%d%d",&m,&n);for(int i=1;i<=n;i++) scanf("%d",&a[i]);for(int i=1;i<=n;i++)for(int j=m;j>=a[i];j--)f[j]=max(f[j],f[j-a[i]]+a[i]);printf("%d",f[m]);return 0;
}

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