【POJ 1330】 Nearest Common Ancestors
2024-08-30 21:30:32
【题目链接】
【算法】
倍增法求最近公共祖先
【代码】
#include <algorithm>
#include <bitset>
#include <cctype>
#include <cerrno>
#include <clocale>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <limits>
#include <list>
#include <map>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <utility>
#include <vector>
#include <cwchar>
#include <cwctype>
#include <stack>
#include <limits.h>
using namespace std;
#define MAXN 10010
#define MAXLOG 20 struct Edge
{
int to,nxt;
} e[MAXN]; int i,T,tot,n,root,x,y;
int fa[MAXN],dep[MAXN],head[MAXN],anc[MAXN][MAXLOG]; template <typename T> inline void read(T &x)
{
int f = ; x = ;
char c = getchar();
for (; !isdigit(c); c = getchar()) { if (c == '-') f = -f; }
for (; isdigit(c); c = getchar()) x = (x << ) + (x << ) + c - '';
x *= f;
}
template <typename T> inline void write(T x)
{
if (x < )
{
putchar('-');
x = -x;
}
if (x > ) write(x/);
putchar(x%+'');
}
template <typename T> inline void writeln(T x)
{
write(x);
puts("");
}
inline void add(int x,int y)
{
tot++;
e[tot] = (Edge){y,head[x]};
head[x] = tot;
}
inline void lca_init(int u)
{
int i,v;
anc[u][] = fa[u];
for (i = ; i < MAXLOG; i++)
{
if (dep[u] <= (i << )) break;
anc[u][i] = anc[anc[u][i-]][i-];
}
for (i = head[u]; i; i = e[i].nxt)
{
v = e[i].to;
dep[v] = dep[u] + ;
lca_init(v);
}
}
inline int lca(int u,int v)
{
int i,k;
if (dep[u] > dep[v]) swap(u,v);
k = dep[v] - dep[u];
for (i = ; i < MAXLOG; i++)
{
if (k & ( << i))
v = anc[v][i];
}
if (u == v) return u;
for (i = MAXLOG - ; i >= ; i--)
{
if (anc[u][i] != anc[v][i])
{
u = anc[u][i];
v = anc[v][i];
}
}
return fa[u];
} int main() { read(T);
while (T--)
{
memset(fa,,sizeof(fa));
memset(anc,,sizeof(anc));
read(n);
tot = ;
for (i = ; i <= n; i++) head[i] = ;
for (i = ; i < n; i++)
{
read(x); read(y);
add(x,y);
fa[y] = x;
}
for (i = ; i <= n; i++)
{
if (!fa[i])
root = i;
}
dep[root] = ;
lca_init(root);
read(x); read(y);
writeln(lca(x,y));
}
return ; }
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