This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define vi vector<int>
#define vl vector<ll>
#define vii vector<pii>
#define db long double
#define vll vector<pll>
#define endl '\n'
#define all(x) x.begin(), x.end()
#define fastio ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
// #define int long long
struct DSU{
vi par;
int components;
DSU(int sz){
components = sz;
par.resize(sz + 5, -1);
}
int Find(int u){
if(par[u] < 0) return u;
else return par[u] = Find(par[u]);
}
bool Union(int u, int v){
u = Find(u), v = Find(v);
if(u != v){
if(par[u] < par[v]){
swap(u, v);
}
par[u] += par[v];
par[v] = u;
components--;
return true;
}
else{
return false;
}
}
};
const int sz = 1e5 + 5;
int n, a[sz], mx;
ll res = 0;
void fmain(){
fastio;
cin >> n;
set<int> st;
for(int i = 1; i <= n; i++){
cin >> a[i];
mx = max(mx, a[i]);
st.insert(a[i]);
}
vector<pair<int, pii>> v;
for(int i : st){
auto itt = st.upper_bound(i);
if(itt != st.end()) v.push_back({min(*itt % i, i % *itt), {i, *itt}});
for(int j = i * 2; j <= mx; j += i){
auto it = st.lower_bound(j);
if(it != st.end()){
v.push_back({min(*it % i, i % *it), {i, *it}});
j = *it / i * i;
}
}
}
sort(all(v));
DSU t(mx);
for(auto i : v){
res += i.first * t.Union(i.second.first, i.second.second);
}
cout << res;
}
signed main(){
int tmr = 1;
// cin >> tmr;
while(tmr--){
fmain();
}
}
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