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Cod sursa(job #644983)
#include <fstream>
#include <iostream>
using namespace std;
const int N = 100005;
int a[N], o[N * 10], v[N * 10], n, nr, nr1, MAX;
char p[N * 10];
long long rez = 0;
long long partial = 1;
void back(int k){
if(k > nr){
// cout << nr1 << " " << partial << " " << v[partial] << '\n';
if(nr1 % 2)
rez -= 1LL * ((v[partial] * (v[partial] - 1)) / 2);
else
rez += 1LL * ((v[partial] * (v[partial] - 1)) / 2);
}
else
for(int i = 0; i <= 1; ++i){
if(i == 1){
++nr1;
partial = 1LL * partial * a[k];
}
if(partial <= 1LL * MAX)
back(k + 1);
if(i == 1){
--nr1;
partial = (long long) partial / a[k];
}
}
}
int main(){
ifstream fin("pairs.in");
ofstream fout("pairs.out");
int i, j;
fin >> n;
for(i = 1; i <= n; ++i)
fin >> a[i], o[a[i]] = 1;
for(i = 1; i <= n; ++i)
if(a[i] > MAX)
MAX = a[i];
for(i = 2; i <= MAX; ++i){
for(j = i; j <= MAX; j += i)
if(o[j])
++v[i];
}
for(i = 2; i <= MAX; ++i)
if(p[i] == 0)
for(j = i + i; j <= MAX; j += i)
p[j] = 1;
rez = n * (n - 1); rez /= 2;
nr = 0;
for(i = 2; i <= MAX; ++i)
if(p[i] == 0)
a[++nr] = i;
back(1);
// for(i = 1; i <= nr; ++i)
// fout << a[i] << '\n';
fout << rez << '\n';
return 0;
}