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;
int n;
int a[N];
struct {
int e[N];
void reset() {
fill(e + 1, e + n + 1, -1);
}
int find(int u) {
if (e[u] < 0) {
return u;
}
return e[u] = find(e[u]);
}
bool join(int u, int v) {
u = find(u); v = find(v);
if (u == v) {
return false;
}
if (e[u] > e[v]) {
swap(u, v);
}
e[u] += e[v];
e[v] = u;
return true;
}
} dsu;
namespace sub1 {
vector<pair<int, int>> edges;
int calc(int i, int j) {
return min(a[i] % a[j], a[j] % a[i]);
}
void solve() {
dsu.reset();
for (int i = 1; i < n; ++i) {
int f1 = -1, f2 = -1;
for (int j = i + 1; j <= n; ++j) {
int val = calc(i, j);
int k = j;
if (f1 == -1 || val <= calc(i, f1)) {
swap(k, f1);
}
if (f2 == -1 || val <= calc(i, f2)) {
swap(k, f2);
}
}
edges.emplace_back(i, f1);
if (f2 > 0) {
edges.emplace_back(i, f2);
}
}
sort(edges.begin(), edges.end(), [&](pair<int, int> x, pair<int, int> y) {
return (calc(x.first, x.second) < calc(x.first, x.second));
});
int cnt = 0;
long long res = 0;
for (auto x : edges) {
int u = x.first, v = x.second;
if (dsu.join(u, v)) {
++cnt;
res += calc(u, v);
}
if (cnt == n - 1) {
break;
}
}
assert(cnt == n - 1);
cout << res << '\n';
}
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
for (int i = 1; i <= n; ++i) {
cin >> a[i];
}
if (n <= 1000) {
sub1::solve();
}
}
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