Cod sursa(job #987317)

Utilizator mitrutstrutMitrea Andrei Ionut mitrutstrut Data 20 august 2013 13:52:21
Problema Light2 Scor 90
Compilator cpp Status done
Runda Arhiva de probleme Marime 1.2 kb
#include <fstream>
#include <queue>
 
using namespace std;
 
typedef long long int64;
 
int64 N, K;
int64 D[24];
int64 result;
int64 Comb[24][24], C[24];
 
inline int64 cmmdc(int64 a, int64 b)
{
    if (b == 0) return a;
    return cmmdc(b, a % b);
}
void Back(int64 cmmmc, int level, int elems)
{
    if (cmmmc > N) return;
    if (level == K + 1) return;
     
    Back(cmmmc, level + 1, elems);
    cmmmc = cmmmc / cmmdc(cmmmc, D[level]) * D[level];
     
    result += N / cmmmc * C[elems];
     
    Back(cmmmc, level + 1, elems + 1);
}
 
int main()
{
    ifstream fin("light2.in");
    ofstream fout("light2.out");
     
    Comb[0][0] = 1;
    for (int i = 1; i <= 22; ++i)
    {
        Comb[i][0] = 1;
        for (int j = 1; j <= i; ++j)
        {
            Comb[i][j] = Comb[i - 1][j] + Comb[i - 1][j - 1];
            if (j < i)
                C[i] += Comb[i][j] * C[j];
        }
        if (i % 2 == 0)
            C[i] = - C[i];
        else
            C[i] = 1 - C[i];
    }
     
    fin >> N >> K;
    for (int i = 1; i <= K; ++i)
        fin >> D[i];
    Back(1, 1, 1);
     
    fout << result << '\n';
     
    fin.close();
    fout.close();
}