lca 倍增法
题目链接:https://www.luogu.org/problemnew/show/P3379AC代码:#include<iostream>#include<stack>#include<queue>#include<map>#include<stdio.h>
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题目链接:https://www.luogu.org/problemnew/show/P3379
AC代码:
#include<iostream>
#include<stack>
#include<queue>
#include<map>
#include<stdio.h>
#include<cstring>
#include<string>
#include<iomanip>
#include<vector>
#include<cmath>
#include<algorithm>
using namespace std;
# define ll long long
const int maxn = 500000+1010;
# define inf 0x3f3f3f3f
struct node
{
int to;
int nex;
} edge[maxn*2];
int head[maxn*2],depth[maxn*2],father[maxn][22];
int n,m,k,num;
void addedge(int fr,int to)
{
edge[num].to=to;
edge[num].nex=head[fr];
head[fr]=num++;
}
void dfs(int u,int root)
{
depth[u]=depth[root]+1;
father[u][0]=root;
for(int i=1; (1<<i)<=depth[u]; i++)//能往上更新多少就更新多少
{
father[u][i]=father[father[u][i-1]][i-1];
}
for(int i=head[u]; i!=-1; i=edge[i].nex)
{
int v=edge[i].to;
if(v==root)continue;
dfs(v,u);
}
}
int lca(int t1,int t2)
{
if(depth[t1]>depth[t2])swap(t1,t2);
for(int i=20; i>=0; i--)//和下面的一样,要从小的开始凑,否则到后面会凑不出来
{
if(depth[t1]<=depth[t2]-(1<<i))//先调整到同一个高度
{
t2=father[t2][i];
}
}
if(t1==t2)return t1;
for(int i=20; i>=0; i--)
{
if(father[t1][i]!=father[t2][i])//一起往上找
{
t1=father[t1][i];
t2=father[t2][i];
}
}
return father[t1][0];
}
int main()
{
num=0;
memset(head,-1,sizeof(head));
int t1,t2;
scanf("%d%d%d",&n,&m,&k);
for(int i=1; i<=n-1; i++)
{
scanf("%d%d",&t1,&t2);
addedge(t1,t2);
addedge(t2,t1);
}
dfs(k,k);
// for(int i=1;i<=n;i++){
// cout<<i<<" "<<depth[i]<<endl;
// }
for(int i=1; i<=m; i++)
{
scanf("%d %d",&t1,&t2);
printf("%d\n",lca(t1,t2));
}
return 0;
}
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