题意:给你n个点的有向图,从1点到其他所有点又从其他点回到1点的最短路。
思路:可以求一次从1点出发的最短路,再反向建图,再求一次从1出发的最短路,把两次的结果加起来就是题目所求。由于边比较多,
所以最好用Dijkstra+优先队列,或者SPFA;
#include<cstdio>
#include<cstring>
#include<queue>
#include<algorithm>
const int maxn = 1000009;
const int inf = 1<<30;
#include<vector>
struct node
{int v,w;node(int v,int w):v(v),w(w){}bool operator < (const node a)const{return w > a.w;}
};
std::vector<node> eg[maxn];
std::priority_queue<node> q;
int n,m;
int vis[maxn];
int dis[maxn];
int a[maxn],b[maxn],c[maxn];void DIJ()
{int i;memset(vis,0,sizeof(vis));for(i=0;i<=n;i++)dis[i] = inf;while(!q.empty())q.pop();dis[1] = 0;vis[1] = 0;int size = eg[1].size();for(i=0; i < size; i++){q.push(node(eg[1][i].v,eg[1][i].w));dis[eg[1][i].v] = eg[1][i].w;}while(!q.empty()){int u = q.top().v;int w = q.top().w;q.pop();if(!vis[u]){vis[u] = 1;size = eg[u].size();for(i=0; i<size; i++){int v = eg[u][i].v;int w = eg[u][i].w;if(!vis[v] && dis[u] + w < dis[v]){dis[v] = dis[u] + w;q.push(node(v,dis[v]));}}}}}
void work()
{int i,sum = 0;DIJ();for(i=2; i<=n; i++) sum += dis[i]; //printf("%d ",dis[i]);}for(i=0; i<=n; i++) eg[i].clear();for(i=0;i<m;i++) eg[b[i]].push_back(node(a[i],c[i]));// printf("\n");DIJ();for(i=2; i <= n;i++) sum += dis[i]; //printf("%d ",dis[i]);}printf("%d\n",sum);
}
void input()
{int i;scanf("%d%d",&n,&m);for(i=0 ;i < m; i++) scanf("%d%d%d",&a[i],&b[i],&c[i]);for(i=0;i<=n;i++) eg[i].clear();for(i=0;i<m;i++) eg[a[i]].push_back(node(b[i],c[i]));
}
int main()
{int t;scanf("%d",&t);while(t--){input(); work();}return 0;
}/*3
2 2
1 2 13
2 1 33
4 6
1 2 10
2 1 60
1 3 20
3 4 10
2 4 5
4 1 50
2 2
1 2 13
2 1 33*/