克鲁斯卡尔(Kruskal)算法求最小生成树

/*
 *Kruskal算法求MST 
*/
#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <string>
#include <algorithm>
#include <queue>
#include <set>
#include <stack>
using namespace std;


const int MAXN = 110;					//最大点数 
const int MAXM = 10000;					//最大边数 
int F[MAXN];							//并查集使用 

struct Edge {
	int u, v, w;
}edge[MAXM];						//存储边的信息,包括起点/终点/权值 

int tol = 0;		//记录边数 

void addedge(int u, int v, int w) {
	edge[tol].u = u;
	edge[tol].v = v;
	edge[tol++].w = w;
}

bool cmp(Edge a, Edge b) {			//排序函数,将边按照权值从小到大排序 
	return a.w < b.w;
}

int find(int x) {
	if (F[x] == -1) 
		return x;
	else
		return F[x] = find(F[x]);
}

int Kruskal(int n) {		//传入点数,返回最小生成树的权值,如果不连通返回-1 
	memset(F, -1, sizeof(F));
	sort(edge, edge+tol, cmp);
	int cnt = 0;			//计算加入的边数 
	int ans = 0;
	for (int i = 0; i<tol; i++) {
		int u = edge[i].u;
		int v = edge[i].v;
		int w = edge[i].w;
		int t1 = find(u);
		int t2 = find(v);
		if (t1 != t2) {
			ans += w;
			F[t1] = t2;
			cnt ++ ;
		}
		if (cnt == n-1)
			break;
	}
	if (cnt < n-1)
		return -1;
	else 
		return ans;
}

int main() {
	int t;
	cin >> t;
	while (t --) {
		tol = 0;
		memset(edge, 0, sizeof(edge));
		int n, m;
		cin >> n >> m;
		while (m --) {
			int x, y, w;
			cin >> x >> y>> w;
			addedge(x, y, w);
		}
		int res = Kruskal(tol);
		if (res == -1)
			cout << "Not Unique!"<< endl;
		else
			cout << res << endl;
	
	}
	return 0;
}

posted @ 2015-11-12 14:29  Tovi  阅读(339)  评论(0编辑  收藏  举报