题意:有n台主机,给出每两台主机之间的通信时间,每台主机允许向所有连接到它的主机同时发送消息,求一条消息从主机1发送到所有其他主机所需要的最少时间。
思路:题意给的不太清楚,乍一看还以为要求最小生成树,实际上就是求主机1到其他主机的最短路中的最大值,用djkstra求就行
#include<iostream>
#include<cstdio>
#include<cmath>
#include<cstring>
#include<vector>
#include<stack>
#include<queue>
#include<map>
#include<algorithm>
using namespace std;
typedef long long ll;
const int maxn = 1e2+10;
const int inf = 0x3f3f3f3f;
int n, g[maxn][maxn], d[maxn], vis[maxn];
int main()
{
while (cin >> n) {
getchar();
for (int i = 0; i < n; i++) {
g[i][i] = inf;
for (int j = 0; j < i; j++) {
string s;
cin >> s;
if (s[0] == 'x')
g[j][i] = g[i][j] = inf;
else {
int num = 0, cur = 0;
for (int i = s.length()-1; i >= 0; i--) {
num += (s[i]-'0')*pow(10, cur++);
}
g[j][i] = g[i][j] = num;
}
}
}
memset(vis, 0, sizeof(vis));
for (int i = 0; i < n; i++)
d[i] = inf;
d[0] = 0;
while (true) {
int k = -1;
for (int i = 0; i < n; i++)
if (!vis[i] && (k == -1 || d[i] < d[k]))
k = i;
if (k == -1)
break;
vis[k] = 1;
for (int i = 0; i < n; i++)
if (d[i] > d[k] + g[k][i])
d[i] = d[k] + g[k][i];
}
int ans = 0;
for (int i = 1; i < n; i++)
ans = max(ans, d[i]);
cout << ans << "\n";
}
return 0;
}