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Cod sursa(job #548139)
#include<cstdio>
#include<cstdlib>
#include<ctime>
#include<iostream>
#include<algorithm>
#include<deque>
#include<queue>
#include<set>
#include<vector>
using namespace std;
#define II inline
#define LL long long
#define PII pair<int, int>
#define PDD pair<double, double>
#define fs first
#define sc second
#define mp make_pair
#define pb push_back
#define FOR(i, a, b) for(int i = a ; i <= b ; i++)
#define IFOR(i, a, b) for(int i = a ; i >= b ; i--)
#define FORIT(it, V) for(vector<int> :: iterator it = V.begin() ; it != V.end() ; it++)
#define all(a) a, a +
const char IN[] = {"light2.in"};
const char OUT[] = {"light2.out"};
const int INF = 1000000005;
const double PI = 3.14159265;
const LL NMAX = 1LL<<40;
const int KMAX = 25;
LL N;
int K, d[KMAX], lua[KMAX];
int nr = 0;
LL REZ;
void citi()
{
scanf("%lld", &N);
scanf("%d", &K);
FOR(i, 1, K) scanf("%d", &d[i]);
}
LL cmmdc(LL a, LL b)
{
int r;
while(b)
{
r = a % b;
a = b;
b = r;
}
return a;
}
void numara()
{
LL P = 1;
FOR(i, 1, K)
if(lua[i])
P = P * d[i] / cmmdc(P, d[i]);
if(nr%2)
REZ += (1<<(nr - 1)) * N/P;
else
REZ -= (1<<(nr - 1)) * N/P;
}
void back(int k)
{
if(k == K + 1)
{
if(nr)
numara();
return;
}
lua[k] = 0;
back(k + 1);
lua[k] = 1;
nr++;
back(k + 1);
nr--;
}
void scrie()
{
printf("%lld", REZ);
}
int main()
{
freopen(IN, "r", stdin);
freopen(OUT, "w", stdout);
citi();
back(1);
scrie();
return 0;
}