题目地址:​​点击打开链接​

思路:模板题,注意重边和不能构成的情况即可

AC代码:

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <queue>
#include <stack>
#include <map>
#include <cstring>
#include <climits>
#include <cmath>
#include <cctype>

typedef long long ll;
using namespace std;
const int zui = 1000000000;

int n,m;
int map1[1010][1010];
int lowdist[1010];
int visit[1010];
int sum;
bool flag;

void Prim()
{
int i,j,k;
sum = 0;
memset(visit,0,sizeof(visit));
for(i=0; i<=n-1; i++)
{
lowdist[i] = map1[0][i];
}
visit[0] = 1;
for(i=1; i<n; i++)
{
int min1 = zui;
k = -1;
for(j=0; j<=n-1; j++)
{
if(!visit[j] && lowdist[j] < min1)
{
min1 = lowdist[j];
k = j;
}
}
if(k == -1)
{
flag = false;
return;
}
visit[k] = 1;
sum += lowdist[k];
for(j=0; j<=n-1; j++)
{
if(!visit[j] && map1[k][j] < lowdist[j])
{
lowdist[j] = map1[k][j];
}
}
}
}

int main()
{
int i,j;
while(scanf("%d%d",&n,&m) != EOF)
{
int a,b,c;
for(i=0; i<=n-1; i++)
{
for(j=0; j<=n-1; j++)
{
map1[i][j] = zui;
}
}
for(i=0; i<m; i++)
{
scanf("%d%d%d",&a,&b,&c);
if(c < map1[a][b])//注意重边
{
map1[a][b] = map1[b][a] = c;
}
}
flag = true;//注意这里刚开始是true
Prim();
if(flag)
{
printf("%d\n\n",sum);
}
else
{
printf("impossible\n\n");
}
}
return 0;
}