Created
June 9, 2009 13:06
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| #include <iostream> | |
| #include <vector> | |
| #include <cmath> | |
| using namespace std; | |
| vector<unsigned int> primes; | |
| vector<unsigned int> p; | |
| unsigned int get(unsigned int n, unsigned int p) { | |
| unsigned int res = 0; | |
| for (unsigned int power = p ; power <= n ; power *= p){ | |
| res += n/power; | |
| } | |
| return res;// + get(n-1,p); | |
| } | |
| unsigned int pows(unsigned int n, unsigned int p) { | |
| unsigned int x = 0; | |
| while (n%p == 0) { | |
| n /= p; | |
| ++x; | |
| } | |
| return x; | |
| } | |
| int main() { | |
| unsigned int m, n; | |
| unsigned int root; | |
| bool found; | |
| for (unsigned int i=2;i<=200000;i++) { | |
| root = int(sqrt(i))+1; | |
| found = false; | |
| for (unsigned int j = 0; j < primes.size() && primes[j] < root; ++j){ | |
| if (i % primes[j] == 0) { | |
| found=true; | |
| break; | |
| } | |
| } | |
| if(!found) | |
| primes.push_back(i); | |
| } | |
| while (cin >> m >> n) { | |
| found = true; | |
| for (unsigned int i = 0; i < primes.size(); ++i) { | |
| if (!(n % primes[i])) { | |
| p.push_back(primes[i]); | |
| } | |
| } | |
| for (unsigned int i = 0; i < p.size(); ++i) { | |
| if (n % p[i] == 0) { | |
| if (get(m, p[i]) < pows(n, p[i])) { | |
| found = false; | |
| break; | |
| } | |
| } | |
| } | |
| if (found) cout << n << " divides " << m <<"!\n"; | |
| else cout << n << " does not divide " << m <<"!\n"; | |
| } | |
| system("pause"); | |
| return 0; | |
| } |
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