Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 42786 Accepted Submission(s): 14274
5 3 7 2 4 3 5 2 20 3 25 18 24 15 15 10 -1 -1
13.333 31.500
题意:给定一个容量为m的背包以及n个物品和每个物品的重量及价值,单个物品可以任意切分,求背包能获得的最大装载价值。
题解:可以求出每个物品的单位重量价值,排序,每次选择单位价值最大的装包即可。
#include <stdio.h>
#include <algorithm>
#define maxn 1002
using std::sort;
struct Node{
int v, c;
double val;
} arr[maxn];
bool cmp(Node a, Node b)
{
return a.val > b.val;
}
int main()
{
//freopen("in.txt", "r", stdin);
//freopen("out.txt", "w", stdout);
int m, n, i, a, b;
double ans;
while(scanf("%d%d", &m, &n), m >= 0 && n >= 0){
for(i = 0; i < n; ++i){
scanf("%d%d", &a, &b);
arr[i].val = a * 1.0 / b;
arr[i].v = a; arr[i].c = b;
}
ans = 0;
sort(arr, arr + n, cmp);
for(i = 0; i < n; ++i){
if(m >= arr[i].c){
m -= arr[i].c; ans += arr[i].v;
}else{
ans += m * arr[i].val; break;
}
}
printf("%.3lf\n", ans);
}
return 0;
}
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原文:http://blog.csdn.net/chang_mu/article/details/38273735