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using namespace std;
typedef long long LL; const double PI = acos(-1.0); typedef pair<int, int> Author; vector<pair<string, int> > VP;
LL qkm(LL a, LL b, LL c){ LL res = 1; for(a %= c; b; b >>= 1, a = a * a % c) if(b & 1) res = res * a % c; return res; }
inline int max(int a, int b){return a > b ? a : b;} inline int min(int a, int b){return a > b ? b : a;} struct Node{ string name; }people[MAX];
long long gcd(long long a,long long b){ return b==0?a:gcd(b,a%b); }
int cmp(const Node& a, const Node& b){ return a.name.size() < b.name.size(); }
/***********************************************************************************************************************************/ int n, m, len, temp; LL a[22], ans;
void DFS(int index, LL lcm, int id){ //奇数加,偶数减,最后判断下标即可 lcm = a[index] / __gcd(a[index], lcm) * lcm; //容斥原理,小于n,故不包含n if(id & 1) ans += (n - 1) / lcm; else ans -= (n - 1) / lcm; //下一个数,lcm,id + 1; FFI(index + 1, len) DFS(i, lcm, id + 1); }
int main(void){ freopen("in.txt", "r", stdin); freopen("out.txt", "w", stdout); ios::sync_with_stdio(false); cin.tie(0); while(cin>>n>>m){ len = ans = 0; while(m--){ cin>>temp; if(temp) a[len++] = temp; } FFI(0, len) DFS(i, a[i], 1); cout<<ans<<endl; } return EXIT_SUCCESS; }
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