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  1. #include <iostream>
  2. #include <map>
  3. using namespace std;
  4. using int64 = long long;
  5.  
  6. int64 gcd(int64 a, int64 b) {
  7.     while (b != 0) {
  8.         int64 r = a % b;
  9.         a = b;
  10.         b = r;
  11.     }
  12.     return a;
  13. }
  14.  
  15. bool isPowerOfTwo(int64 n) {
  16.     return n > 0 && ((n & (n - 1)) == 0);
  17. }
  18.  
  19. int main() {
  20.     int64 num, den;
  21.  
  22.     cout << "Podaj licznik i mianownik: ";
  23.     if (!(cin >> num >> den)) {
  24.         cout << "BLAD: nie wczytano danych!\n";
  25.         return 0;
  26.     }
  27.  
  28.     if (den == 0) {
  29.         cout << "Blad: mianownik = 0\n";
  30.         return 0;
  31.     }
  32.  
  33.     int64 g = gcd(llabs(num), llabs(den));
  34.     num /= g;
  35.     den /= g;
  36.  
  37.     if (isPowerOfTwo(den)) {
  38.         cout << "Mianownik NIE moze byc potega liczby 2!\n";
  39.         return 0;
  40.     }
  41.  
  42.     cout << "Rozwiniecie binarne: 0.";
  43.  
  44.     map<int64, int> used;
  45.     string bits;
  46.  
  47.     int64 r = llabs(num % den);
  48.     int pos = 0, start = -1;
  49.  
  50.     while (r != 0) {
  51.         if (used.count(r)) {
  52.             start = used[r];
  53.             break;
  54.         }
  55.         used[r] = pos++;
  56.         r *= 2;
  57.  
  58.         if (r >= den) {
  59.             bits += '1';
  60.             r -= den;
  61.         } else {
  62.             bits += '0';
  63.         }
  64.     }
  65.  
  66.     if (start == -1) {
  67.         cout << bits;
  68.     } else {
  69.         for (int i = 0; i < bits.size(); i++) {
  70.             if (i == start) cout << "(";
  71.             cout << bits[i];
  72.         }
  73.         cout << ")";
  74.     }
  75.     cout << endl;
  76.  
  77.     return 0;
  78. }
  79.  
Success #stdin #stdout 0s 5320KB
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Podaj licznik i mianownik: Rozwiniecie binarne: 0.(0110)
https://ideone.com/0oGWgf
language:
C++ (gcc 8.3)
created:
3 days ago
visibility:
public

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