HDU 1213 How Many Tables （并查集）

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. 

InputThe 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.
OutputFor each test case, just output how many tables Ignatius needs at least. Do NOT print any blanks. 
Sample Input

2
5 3
1 2
2 3
4 5

5 1
2 5

Sample Output

2
4

题解：简单的并查集应用

#include <iostream>
#include <algorithm>
#include <cstring>
#include <cstdio>
#include <vector>
#include <cstdlib>
#include <iomanip>
#include <cmath>
#include <ctime>
#include <map>
#include <set>
#include <queue>
using namespace std;
#define lowbit(x) (x&(-x))
#define max(x,y) (x>y?x:y)
#define min(x,y) (x<y?x:y)
#define MAX 100000000000000000
#define MOD 1000000007
#define pi acos(-1.0)
#define ei exp(1)
#define PI 3.141592653589793238462
#define INF 0x3f3f3f3f3f
#define mem(a) (memset(a,0,sizeof(a)))
typedef long long ll;
ll gcd(ll a,ll b){
    return b?gcd(b,a%b):a;
}
bool cmp(int x,int y)
{
    return x>y;
}
const int N=10005;
const int mod=1e9+7;
int f[N];
int find1(int x)
{
    if(f[x]!=x)
        f[x]=find1(f[x]);
    return f[x];
}
void And(int x,int y)
{
    int xx,yy;
    xx=find1(x);
    yy=find1(y);
    if(xx!=yy)
        f[xx]=yy;
}
int main()
{
    std::ios::sync_with_stdio(false);
    int t,n,m,a,b;
    cin>>t;
    while(t--){
        cin>>n>>m;
        for(int i=1;i<=n;i++)
            f[i]=i;
        for(int i=0;i<m;i++){
            cin>>a>>b;
            And(a,b);
        }
        int s=0;
        for(int i=1;i<=n;i++)
            if(find1(i)==i) s++;
        cout<<s<<endl;
    }
    return 0;
}