This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5, M = 20;
int n, m, k, pp[N], d[N];
int p[M + 1][N], dp[M + 1][N];
vector < pair < int, int > > g[N];
int dsu_get(int v){
return pp[v] == v ? v : pp[v] = dsu_get(pp[v]);
}
void dfs(int v, int pr = 0, int prval = 0){
p[0][v] = pr;
dp[0][v] = prval;
for(int i = 1; i <= M; i++){
p[i][v] = p[i - 1][p[i - 1][v]];
dp[i][v] = max(dp[i - 1][v], dp[i - 1][p[i - 1][v]]);
}
for(auto it : g[v]){
int to = it.first, len = it.second;
if(to != pr){
d[to] = d[v] + 1;
dfs(to, v, len);
}
}
}
inline int lca(int x, int y){
if(x == y){
return x;
}
if(d[x] > d[y]){
swap(x, y);
}
int len = d[y] - d[x];
for(int i = 0; i <= M; i++){
if((len >> i) & 1){
y = p[i][y];
}
}
if(x == y){
return x;
}
for(int i = M; i >= 0; i--){
if(p[i][x] != p[i][y]){
x = p[i][x];
y = p[i][y];
}
}
return p[0][x];
}
inline int get(int x, int y){
if(x == y){
return 0;
}
int ans = 0, len = d[y] - d[x];
for(int i = M; i >= 0; i--){
if((len >> i) & 1){
ans = max(ans, dp[i][y]);
y = p[i][y];
}
}
return ans;
}
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin >> n >> m >> k;
for(int i = 1; i <= n; i++){
pp[i] = i;
}
for(int i = m; i >= 1; i--){
for(int j = 2; j * i <= n; j++){
if(dsu_get(i) != dsu_get(i * j)){
pp[dsu_get(i)] = dsu_get(i * j);
g[i].push_back(make_pair(i * j, m - i + 1));
g[i * j].push_back(make_pair(i, m - i + 1));
}
}
}
dfs(1);
while(k--){
int x, y;
cin >> x >> y;
int z = lca(x, y);
cout << max(get(z, x), get(z, y)) << "\n";
}
}
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