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Cod sursa(job #544682)
#include<cstdio>
#include<algorithm>
#define ll long long
using namespace std;
ll n,rc,rez,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("%lld",&v[i]);
}
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)
{
if((nr1&1)==1)
rez+=(n/rc)*(1<<(nr1-1));
else
rez-=(n/rc)*(1<<(nr1-1));
}
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();
rc=1;
nr1=0;
back(1);
printf("%lld",rez);
return 0;
}