Cod sursa(job #708340)

Utilizator darrenRares Buhai darren Data 6 martie 2012 18:55:24
Problema Light2 Scor 100
Compilator cpp Status done
Runda Arhiva de probleme Marime 0.96 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();
}