#include #include #include #include #include using namespace std; using i64 = long long; using u64 = unsigned long long; #define rep(i,n) for(i64 i=0; i<(i64)(n); i++) #define repr(i,n) for(i64 i=(i64)(n)-1; i>=0; i--) const i64 INF = 1001001001001001001; int main(){ i64 L, N; cin >> L >> N; vector A(N); rep(i,N) cin >> A[i]; vector> coins(60, vector(60)); for(i64 a : A){ int p2 = 0; while(a%2 == 0){ p2++; a /= 2; } int p3 = 0; while(a%3 == 0){ p3++; a /= 3; } rep(s,2) rep(t,2) coins[p3+s][p2+t] ^= 1; } i64 sz = 1; while((sz+1)*(sz+1) <= L) sz++; vector Q(sz+1); rep(y,60) rep(x,60) if(coins[y][x]){ i64 mp = i64(1)< sieve(sz+1, 1); sieve[0] = sieve[1] = 0; vector mobius(sz+1); mobius[1] = 1; for(i64 p=2; p<=sz; p++) if(sieve[p]){ for(i64 q=p; p*q<=sz; q++) sieve[p*q] = 0; for(i64 q=sz/p; q>=1; q--) mobius[p*q] = -mobius[q]; } for(i64 p=1; p<=sz; p++) ans += mobius[p] * Q[p]; cout << ans << endl; return 0; }