题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1535

分析:

题意:求1点到其它点的最短距离之和+其它点到1点的最短距离之和

前面一部分直接用SPFA算法求出,而后一部分可用一数组存放反向边

(所有边的方向都反一下),利用反向边SPFA求出1点到其它点距离即可。

#include <iostream>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <string>
#include <cstring>
#include <algorithm>
#include <queue> using namespace std;
const int inf = 0xfffffff;
const int maxn = 1000000+10; bool vis[maxn];
int h1[maxn],h2[maxn],dis[maxn];
int t1,t2,n,m; struct node{
int x,v,next;
}f1[maxn],f2[maxn];
///f1存放顺向边, f2存放反向边 void init(){
t1=t2=0;
memset(h1,-1,sizeof(h1));
memset(h2,-1,sizeof(h2));
}
void addnode_1(int a,int b,int c){
f1[t1].x=b;
f1[t1].v=c;
f1[t1].next=h1[a];
h1[a]=t1++;
}
void addnode_2(int a,int b,int c){
f2[t2].x=b;
f2[t2].v=c;
f2[t2].next=h2[a];
h2[a]=t2++;
} int spfa(node F[ ],int H[ ]){
memset(vis,false,sizeof(vis));
for(int i=1;i<=n;++i)
dis[i]=inf;
dis[1]=0;
vis[1]=true;
queue<int>M;
M.push(1);
while(!M.empty()){
int now=M.front(); M.pop();
vis[now]=false;
for(int i=H[now];i!=-1;i=F[i].next){
int next=F[i].x;
if(dis[next]>dis[now]+F[i].v){
dis[next]=dis[now]+F[i].v;
if(!vis[next]){
vis[next]=true;
M.push(next);
}
}
}
}
int sum=0;
for(int i=2;i<=n;++i)
sum+=dis[i];
return sum;
} int main(){
int T; scanf("%d",&T);
while(T--){
scanf("%d%d",&n,&m);
init();
while(m--){
int a,b,c;
scanf("%d%d%d",&a,&b,&c);
addnode_1(a,b,c);
addnode_2(b,a,c);
}
int ans=spfa(f1,h1)+spfa(f2,h2);
cout<<ans<<endl;
}
return 0;
}

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