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Cod sursa(job #541518)
#include <algorithm>
using namespace std;
#define DIM 25
long long N,nrt;
int d[DIM];
int K,M;
void read ()
{
int i;
scanf ("%lld%d",&N,&K);
for (i=1; i<=K; ++i)
scanf ("%d",&d[i]);
}
inline int cmmdc (int a,int b)
{
if (!b)
return a;
return cmmdc (b,a%b);
}
void solve ()
{
int stare,i,j,nrb;
long long nrc;
sort (d+1,d+K+1);
for (i=1; i<K; ++i)
if (d[i]==d[i+1])
{
for (j=i+2; j<=K; ++j)
d[j-2]=d[j];
K-=2;
}
for (stare=1; stare<(1<<K); ++stare)
{
nrb=0; nrc=1;
for (i=1; i<=K; ++i)
if (stare&(1<<(i-1)))
{
++nrb;
nrc=nrc*d[i]/cmmdc (d[i],nrc%d[i]);
}
if (nrb&1)
nrt+=(N/nrc)*(1<<(nrb-1));
else
nrt-=(N/nrc)*(1<<(nrb-1));
}
printf ("%lld",nrt);
}
int main ()
{
freopen ("light2.in","r",stdin);
freopen ("light2.out","w",stdout);
read ();
solve ();
return 0;
}