POJ - 1797最大最小边

题目链接
题意
n个点,m条边,求从1到n的路径上最大的最小边,(如,有1 2 3,1 3 4, 2 3 5这几条边,从1到3最大的最小边就是4)
思路
松弛操作替换为d[v] = min(d[u], dis[u][v]),因为要找最大的边,所以每次进行松弛的的时候是找最大的边。

#include <iostream>
#include <cstdio>
#include <algorithm>
#include <string.h>
#include <queue>
#define pr pair<int,int>
#define INF 0x3f3f3f3f
using namespace std;
const int maxn = 1e5 + 7;
typedef long long ll;
int n, m, head[maxn], to[maxn<<1], edge[maxn<<1], nex[maxn<<1], cnt;
int d[maxn], vis[maxn];
void add(int x, int y, int val) {
    to[cnt] = y;
    edge[cnt] = val;
    nex[cnt] = head[x];
    head[x] = cnt++;
}
void init() {
    memset(head, -1, sizeof(head));
    cnt = 0;
}
void dijkstra(int s) {
    memset(vis, 0, sizeof(vis));
    memset(d, 0, sizeof(d));//*
    priority_queue<pr, vector<pr>, less<pr> > que;//*
    que.push(make_pair(0, s));
    d[s] = INF;//*
    while (!que.empty()) {
        int u = que.top().second;
        que.pop();
        vis[u] = 1;
        for (int i = head[u]; ~i; i = nex[i]) {
            int v = to[i], len = edge[i];
            if(!vis[v] && d[v] < min(d[u], len))//*
            {
                d[v] = min(d[u], len);//*
                que.push(make_pair(d[v], v));
            }
        }
    }
}
int main()
{
    int tt, Case = 1;
    cin >> tt;
    while (tt--) {
        cin >> n >> m;
        init();
        for (int i = 1; i <= m; i++) {
            int x, y, z;
            scanf("%d %d %d", &x, &y, &z);
            add(x, y, z); add(y, x, z);
        }
        dijkstra(1);
        printf("Scenario #%d:\n", Case++);
        printf("%d\n\n", d[n]);
    }
}
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转载自blog.csdn.net/D_Bamboo_/article/details/103512237