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;
using ll = long long;
const int N = 1e5;
const int V = 1e7;
int a[N + 5];
int save[N + 5];
int mind[N + 5];
int id[V + 5];
int par[N + 5];
vector<int> vec[N + 5];
bool flag[N + 5];
int getpar(int u) {
if (par[u] < 0) return (u);
else return (par[u]);
}
bool uni(int u, int v) {
u = getpar(u), v = getpar(v);
if (u == v) return (false);
if (par[u] > par[v]) swap(u, v);
par[u] += par[v];
for (int x : vec[v]) {
par[x] = u;
vec[u].push_back(x);
}
return (true);
}
void solve() {
int n;
cin >> n;
vector<int> cpr;
for (int i = 1; i <= n; i++) {
cin >> a[i];
cpr.push_back(a[i]);
}
sort(cpr.begin(), cpr.end());
cpr.resize(unique(cpr.begin(), cpr.end()) - cpr.begin());
n = (int)cpr.size();
set<int> s;
for (int i = 1; i <= n; i++) {
mind[i] = V + 1;
a[i] = cpr[i - 1];
id[a[i]] = i;
s.insert(a[i]);
}
for (int i = 1; i <= n; i++) {
par[i] = -1;
vec[i].push_back(i);
}
ll ans = 0;
while (par[getpar(1)] != -n) {
for (int i = 1; i <= n; i++) {
flag[i] = false;
mind[i] = V + 1;
}
for (int i = 1; i <= n; i++)
if (!flag[i]) {
int p = getpar(i);
for (int x : vec[p]) {
s.erase(a[x]);
flag[x] = true;
}
for (int x : vec[p]) {
int val = a[x];
int d = 1;
while (true) {
auto iter = s.lower_bound(val * d);
if (iter == s.end()) break;
int nval = *iter;
int y = id[nval];
int dist = nval % val;
if (dist < mind[x]) {
mind[x] = dist;
save[x] = y;
}
if (dist < mind[y]) {
mind[y] = dist;
save[y] = x;
}
d = nval / val + 1;
}
}
for (int x : vec[p])
s.insert(a[x]);
}
for (int i = 1; i <= n; i++)
flag[i] = false;
for (int i = 1; i <= n; i++)
if (!flag[i]) {
int p = getpar(i);
int take = -1;
for (int x : vec[p]) {
if (take == -1) take = x;
else if (mind[x] < mind[take])
take = x;
flag[x] = true;
}
if (uni(take, save[take])) ans += 1ll * mind[take];
}
}
cout << ans;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
solve();
return 0;
}
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