#include <iostream>
using namespace std;
#define INFINE 99999999//假裝自己是無窮大
const int N = 1010;
int graph[N][N];
int vertexnum, arcnum;
//lowcost[i]:表示以i為終點的邊的最小權值,
//當lowcost[i]=0說明以i為終點的邊的最小權值=0,
//也就是表示i點加入了MST
//mst[i]:表示對應lowcost[i]的起點,
//即說明邊<mst[i],i>是MST的一條邊
void Prim(int v, int n) {
int sum = 0;
int locatest[N];
int mst[N];
for (int i = 1; i <= n; i++) {
locatest[i] = graph[v][i];
mst[i] = v;
}
mst[v] = 0;
locatest[v] = 0;
for (int i = 2; i <= n; i++) {
int minx = INFINE;
int minid = 0;
for (int k = 1; k <= n; k++) {
if (locatest[k] != 0 && locatest[k] < minx) {
minx = locatest[k];
minid = k;
}
}
cout << "V" << mst[minid] << "-" << "V" << minid << " = " << minx << endl;
locatest[minid] = 0;
sum += minx;
for (int i = 1; i <= n; i++) {
if ( graph[minid][i] < locatest[i]) {
locatest[i] = graph[minid][i];
mst[i] = minid;
}
}
}
cout << sum << endl;
return;
}
void CreateGraph() {
cin >> vertexnum >> arcnum;//輸入點的個數,邊的條數
for (int i = 1; i <= vertexnum; i++)
for (int j = 1; j <= vertexnum; j++)
graph[i][j] = INFINE;
for (int i = 1; i <= arcnum; i++) {
int a, b, w;
cin >> a >> b >> w;
graph[a][b] = w;//無向圖,故兩邊都要指派
graph[b][a] = w;
}
}
int main() {
CreateGraph();
Prim(1, vertexnum);//以點1為最小生成樹的起點
return 0;
}
最小生成樹Prim算法了解位址:
https://blog.csdn.net/yeruby/article/details/38615045