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  1. #include<bits/stdc++.h>
  2. using namespace std;
  3. using ll = long long ;
  4. ll gcd(int a,int b){
  5.     while(b){
  6.         ll du = a%b;
  7.         a = b;
  8.         b = du;
  9.     }
  10.     return a;
  11. }
  12. ll lcm(int a,int b){
  13.     return a/gcd(a,b)*b;
  14. }
  15. struct PhanSo{
  16.     ll tu,mau;
  17.     void rutGon(){
  18.         ll uc = gcd(this->tu,this->mau);
  19.         this->tu/=uc;
  20.         this->mau/=uc;
  21.     }
  22.     PhanSo operator - (PhanSo b){
  23.         ll mauChung = this->mau*b.mau;
  24.         ll t1 = this->tu*b.mau - b.tu*this->mau;
  25.         PhanSo res{t1,mauChung};
  26.         res.rutGon();
  27.         return res;
  28.     }
  29. };
  30. int main(){
  31.     PhanSo a;
  32.     cin >> a.tu >> a.mau ;
  33.     while(a.tu){
  34.         ll x ;
  35.         if(a.mau%a.tu ==0){
  36.             x = a.mau / a.tu;
  37.         }
  38.         else x = a.mau / a.tu + 1;
  39.         PhanSo donVi{1,x};
  40.         cout << 1 << "/" << x;
  41.         a = a - donVi;
  42.         if(a.tu) cout << " + ";
  43.     }
  44. }
  45.  
Success #stdin #stdout 0.01s 5288KB
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https://ideone.com/x53lZA
[Tham Lam]. Bài 16. Phân số đơn vị (egyptian fractions)
language:
C++ (gcc 8.3)
created:
34 days ago
visibility:
public

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