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Cod sursa(job #544670)
#include<cstdio>
#include<algorithm>
#define ll long long
using namespace std;
ll n,rc,rez,vi[25],v[25];
int nr1,k;
void read()
{
freopen("light2.in","r",stdin);
freopen("light2.out","w",stdout);
scanf("%lld",&n);
scanf("%d",&k);
for(int i=1;i<=k;i++)
scanf("%d",&vi[i]);
}
void norm()
{
int newk=0,nrap=1;
sort(vi+1,vi+k+1);
for(int i=2;i<=k;i++)
if(vi[i]!=vi[i-1])
{
if(nrap%2)
v[++newk]=vi[i-1];
nrap=1;
}
else
nrap++;
if(nrap%2)
v[++newk]=vi[k];
k=newk;
}
ll cmmdc(ll x,ll y)
{
ll r=x%y;
while(r)
{
x=y;
y=r;
r=x%y;
}
return y;
}
void back(int poz)
{
if(rc>n)
return;
if(poz>k)
{
if((nr1&1)==1)
rez+=(ll)(1<<(nr1-1))*(n/rc);
else
rez-=(ll)(1<<(nr1-1))*(n/rc);
return;
}
back(poz+1);
ll aux=cmmdc(rc,v[poz]);
nr1++;
rc=rc/aux*v[poz];
back(poz+1);
nr1--;
rc=rc/v[poz]*aux;
}
int main()
{
read();
norm();
for(int i=1;i<=k;i++)
{
rc=v[i];
nr1=1;
back(i+1);
}
printf("%lld",rez);
return 0;
}