POJ 2485 Highways (最小生成树prim)

题目大意:    有一个岛国,没有高速公路,交通非常困难。政府意识到了这一问题,他们计划建造一些高速公路,这样可以使任何一对城镇都不离开公路系统。所有公路都是沿直线建造并且是双向的。政府想降低花费,所以想找到一种建造方案,能连接所有的城镇,并且公路的总长度最小。注意题目求的是最小生成树最长的那条边。

#include <cstdio>
#include <cstring>
#include <algorithm>
#define N 600
#define INF 0x3f3f3f3f
int dist[N][N];
int lostcow[N], used[N];
int prim(int n)
{
    int i, j, k, sum = 0, min;
    memset(used, 0, sizeof(used));
    for(i = 1; i <= n; i++)
        lostcow[i] = dist[1][i];
    used[1] = 1;
    for(i = 1; i <= n - 1; i++)
    {
        k = 1;
        min = INF;
        for(j = 1; j <= n; j++)
            if(!used[j] && lostcow[j] < min)
            {
                min = lostcow[j];
                k = j;
            }
        if(sum < min)/*     这与最小生成树不一样不是求相加之和      */
            sum = min;
        used[k] = 1;
        for(j = 1; j <= n; j++)
            if(!used[j] && dist[k][j] < lostcow[j])
                lostcow[j] = dist[k][j];
    }
    return sum;
}
int main()
{
    int n;
    scanf("%d", &n);
    while(n--)
    {
        int m, i, j;
        scanf("%d", &m);
        for(i = 1; i <= m; i++)
            for(j = 1; j <= m; j++)
                scanf("%d", &dist[i][j]);
        int s = prim(m);
        printf("%d\n", s);
    }
    return 0;
}
时间: 2024-10-09 23:11:35

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