How Many Tables

一、题目

Today is Ignatius’ birthday. He invites a lot of friends. Now it’s dinner time. Ignatius wants to know how many tables he needs at least. You have to notice that not all the friends know each other, and all the friends do not want to stay with strangers.

One important rule for this problem is that if I tell you A knows B, and B knows C, that means A, B, C know each other, so they can stay in one table.

For example: If I tell you A knows B, B knows C, and D knows E, so A, B, C can stay in one table, and D, E have to stay in the other one. So Ignatius needs 2 tables at least.
Input
The input starts with an integer T(1<=T<=25) which indicate the number of test cases. Then T test cases follow. Each test case starts with two integers N and M(1<=N,M<=1000). N indicates the number of friends, the friends are marked from 1 to N. Then M lines follow. Each line consists of two integers A and B(A!=B), that means friend A and friend B know each other. There will be a blank line between two cases.
Output
For each test case, just output how many tables Ignatius needs at least. Do NOT print any blanks.
Sample
Inputcopy Outputcopy
2
5 3
1 2
2 3
4 5

5 1
2 5
2
4

二、分析

简单的并查集题，求最少需要多少桌子，即最少有几个团体
使用set去重，那么set的size就是答案了。

#include
#include
#include
using namespace std;
int fa[1100];
int find(int x)
{
    if(x==fa[x]) return x;
    fa[x]=find(fa[x]);
    return fa[x];
}
void merge(int x,int y)
{
    fa[find(x)]=find(y);
}
int main()
{
    int T;
    cin>>T;
    while(T--)
    {
        memset(fa,0,sizeof(fa));
        int n,m;
        cin>>n>>m;
        for(int i=1;i<=n;i++)
        {
            fa[i]=i;
        }
        for(int i=1;i<=m;i++)
        {
            int a,b;cin>>a>>b;
            merge(a,b);
        }
        int f=-999;
        int ans=0;
        set<int>qqq;//用于去重
        for(int i=1;i<=n;i++)
        {
            qqq.insert(find(i));
        }
        cout<<qqq.size()<<endl;
    }
}