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;
#define debug(...) 40
using ll = long long;
using pii = pair<int,int>;
#define el cout << '\n'
#define fi first
#define se second
#define pb push_back
#define all(x) x.begin(), x.end()
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FOD(i, a, b) for (int i = (a); i >= (b); i--)
#define REP(i, n) for (int i = 0; i < (n); i++)
template <class T1, class T2>bool chmax(T1 &a, T2 b){return a < b ? a = b, 1 : 0;}
template <class T1, class T2>bool chmin(T1 &a, T2 b){return a > b ? a = b, 1 : 0;}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll mod = 1e9 + 7;
const int maxn = 1e5 + 5;
struct DSU{
vector<int> par,sz;
DSU(){};
DSU(int n){
par.resize(n);
iota(all(par), 0);
sz.resize(n, 1);
}
int find (int x){
return x == par[x] ? x : par[x] = find(par[x]);
}
bool unite(int x, int y){
x = find(x);
y = find(y);
if (x == y) return false;
if (sz[x] < sz[y]) swap(x, y);
sz[x] += sz[y];
par[y] = x;
return true;
}
};
void solve(){
int n;
cin >> n;
vector<int> a(n);
int mx = 0;
for (auto& x : a){
cin >> x;
chmax(mx, x);
}
sort(all(a));
a.erase(unique(all(a)), a.end());
vector<int> nxt(mx + 1, -1);
n = a.size();
REP(i, n){
nxt[a[i]] = i;
}
for (int i = mx - 1; i >= 0; i--){
if (nxt[i] == -1) nxt[i] = nxt[i + 1];
}
vector<pii> ad[mx + 1];
REP(i, n - 1){
ad[a[i + 1] % a[i]].pb({i, i + 1});
for (auto at = 2 * a[i]; at <= mx; at += a[i]){
int pos = nxt[at];
ad[a[pos] % a[i]].pb({i, pos});
}
}
ll cost = 0;
DSU dsu(n);
FOR(i, 0, mx){
for (auto [u, v] : ad[i]){
if (dsu.unite(u, v)) cost += i;
}
}
cout << cost;
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int tests = 1;
// cin >> tests;
for (int _ = 1; _ <= tests; _++){
cerr << "- Case #" << _ << ": \n";
solve();
el;
}
return 0;
}
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