题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=2066
解题思路:
很裸的单源最短路Dijkstra算法。只不过起点给你多个,然后求可以到达的目的地中路径最短的一条。
两层for循环筛选出即可。
代码如下:
#include<iostream> #include<cstdio> #include<cstring> #include<string> #include<algorithm> using namespace std; #define MAX 0x3f3f3f3f int road, link, want, total; int map[1010][1010], linkarr[1010], wantarr[1010], dis[1010]; bool visit[1010]; void Dijkstra(int start) { int temp, k; memset(visit, 0, sizeof(visit)); for(int i = 1; i <= total; ++i) dis[i] = map[start][i]; dis[start] = 0; visit[start] = 1; for(int i = 1; i <= total; ++i) { temp = MAX; for(int j = 1; j <= total; ++j) if(!visit[j] && temp > dis[j]) temp = dis[k = j]; visit[k] = 1; for(int j = 1; j <= total; ++j) if(!visit[j] && dis[j] > dis[k] + map[k][j]) dis[j] = dis[k] + map[k][j]; } } int main() { int x, y, cost, minn, answer; while(scanf("%d%d%d", &road, &link, &want) != EOF) { total = 0; memset(map, MAX, sizeof(map)); for(int i = 1; i <= road; ++i) { scanf("%d%d%d", &x, &y, &cost); if(cost < map[x][y]) map[x][y] = map[y][x] = cost; total = max(total, max(x, y)); //错了N久。。。。因为没有给出点的个数。 } for(int i = 1; i <= link; ++i) //相连的城市 scanf("%d", &linkarr[i]); for(int i = 1; i <= want; ++i) //目的地 scanf("%d", &wantarr[i]); answer = MAX; for(int i = 1; i <= link; ++i) //linkarr数组中所有元素中到达目的地最短的路 { Dijkstra(linkarr[i]); minn = MAX; for(int j = 1; j <= want; ++j) //linkarr[i]中可以到达的目的地中最短 if(dis[wantarr[j]] < minn) minn = dis[wantarr[j]]; if(answer > minn) answer = minn; } printf("%d\n", answer); } return 0; }