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>
#define ft first
#define sd second
#define sz(x) ((int)x.size())
#define all(x) x.begin(),x.end()
#define PB push_back
#define i2 array<int,2>
#define pis pair<int,short>
using namespace std;
typedef long long ll;
const int N = 100100;
const int BIG = int(1e7) + 10;
const int con = (1 << 10) - 1;
const int oo = 2e9;
vector<pis> edg;
int n, a[N], nt[N];
ll ans = 0;
int get(int x) { return (x == nt[x] ? x : nt[x] = get(nt[x])); }
void calc(){
for (int i = 1; i <= n; i++){
if (i > 1 && a[i] == a[i - 1]) continue;
int x = a[i];
for (int it = x + 1; ; ){
int nov = lower_bound(a + 1, a + n + 1, it) - a;
if (nov == n + 1) break;
int nw = a[nov] % x;
it = a[nov];
edg.PB({(nov << 10) + (i & con), (i >> 10)});
if (nw == 0)
it += x;
else it += x - nw;
}
}
}
bool cmp(pis _x, pis _y){
int x1 = (_x.ft >> 10), x2 = (_x.sd << 10) + (_x.ft & con);
int y1 = (_y.ft >> 10), y2 = (_y.sd << 10) + (_y.ft & con);
return (a[x1] % a[x2]) < (a[y1] % a[y2]);
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef _LOCAL
freopen("in.txt","r",stdin);
#endif // _LOCAL
cin >> n;
for (int i = 1; i <= n; i++){
int x; cin >> x;
a[i] = x;
}
sort(a + 1, a + n + 1);
calc();
sort(all(edg), cmp);
for (int i = 1; i <= n; i++)
nt[i] = i;
for (pis _x : edg){
int x = (_x.ft >> 10), y = (_x.sd << 10) + (_x.ft & con);
int xx = get(x), yy = get(y);
if (xx == yy) continue;
ans += a[x] % a[y];
nt[xx] = yy;
}
cout << ans << '\n';
return 0;
}
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