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Think:
1知识点:最短路_spfa算法(多起点-多终点)
2思考:将起点vis置为1,dis置为0,spfa算法,然后dis数组取多终点中的最小值
3优化思路:创建源点0和汇点n+1,将源点0与所有起点连边(无向边),边权为0,将所有终点与汇点n+1连边(无向边),边权为0;然后spfa算法求0点到n+1点的最短路即可
vjudge题目链接
以下为Accepted代码——多起点_多终点
#include <cstdio>#include <cstring>#include <algorithm>#include <queue>using namespace std;const int inf = 0x3f3f3f3f;const int N = 1e5 + 4e2;const int M = 1e5 + 4e2;struct Edge{ int v; int w; int next;}edge[M];int cnt, head[N], vis[N], dis[N], a[N], b[N];int op, tp, link[N];void Init(int n);void add_edge(int u, int v, int w);void spfa();int main(){ int n, m, i, u, v, w, len_a, len_b; while(~scanf("%d %d", &n, &m)){ cnt = 0; Init(n); while(m--){ scanf("%d %d %d", &u, &v, &w); add_edge(u, v, w); } memset(vis, 0, sizeof(vis)); memset(dis, inf, sizeof(dis)); scanf("%d", &len_a); op = tp = 0; for(i = 0; i < len_a; i++){ scanf("%d", &a[i]); vis[a[i]] = 1; dis[a[i]] = 0; link[tp++] = a[i]; } scanf("%d", &len_b); for(i = 0; i < len_b; i++){ scanf("%d", &b[i]); } spfa(); int miv = inf; for(i = 0; i < len_b; i++){ miv = min(miv, dis[b[i]]); } printf("%d\n", miv); } return 0;}void Init(int n){ for(int i = 1; i <= n; i++) head[i] = -1;}void add_edge(int u, int v, int w){ edge[cnt].v = v; edge[cnt].w = w; edge[cnt].next = head[u]; head[u] = cnt++;}void spfa(){ while(op < tp){ int u = link[op]; vis[u] = 0; for(int i = head[u]; ~i; i = edge[i].next){ int v = edge[i].v; int w = edge[i].w; if(dis[u] + w < dis[v]){ dis[v] = dis[u] + w; if(!vis[v]){ vis[v] = 1; link[tp++] = v; } } } op++; }}