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Cod sursa(job #110588)
#include <stdio.h>
#include <assert.h>
#include <algorithm>
using namespace std;
#define nmax 100111
#define lmax 1000111
#define FOR(i,s,d) for(i=(s);i<(d);++i)
typedef long long lint;
int n,A[lmax],B[lmax];
lint sol;
char viz[lmax],nt[lmax];
int main()
{
int i,j,x;
assert(freopen("pairs.in","r",stdin));
freopen("pairs.out","w",stdout);
assert(scanf("%d",&n)==1);
assert(n<=100000);
assert(n>=2);
FOR(i,0,n)
{
assert(scanf("%d",&x)==1);
assert(x<=1000000);
assert(x>=1);
viz[x]=1;
}
FOR(i,2,lmax)
{
for(j=i;j<lmax;j+=i)
if(viz[j])
B[i]++;
if(A[i])
continue;
for(j=i;j<lmax;j+=i)
if((j/i)%i==0)
nt[j]=1;
else
A[j]++;
}
FOR(i,2,lmax)
if(!nt[i])
if(A[i]&1)
sol+=(lint)B[i]*(B[i]-1)/2;
else
sol-=(lint)B[i]*(B[i]-1)/2;
printf("%lld\n",(lint)n*(n-1)/2-sol);
return 0;
}