Ok, así que tengo 1 tipo definido por el usuario llamadofraction y representa y fracción ordinaria con un numerador y denominador. Aquí está el código:

class Fraction
{
private:
  int numerator;
  int denominator;

public:
  Fraction(int numer,int denom)
    :numerator(numer),denominator(denom){}

  int get_denom(){return denominator;}
  int get_numer(){return numerator;}
};

Como veis, está completamente implementado en un archivo de encabezado.

Entonces, lo que quiero hacer con esto es ordenar un vector de fracciones usando el algoritmo de clasificación. Aquí está el código del operador "<" sobrecargado (nota: se coloca en el mismo archivo que la clase de fracción, pero fuera de la clase):

bool operator<(Fraction& first,Fraction& second)
{
  if(first.get_denom() == second.get_denom())
  {
    return first.get_numer()<second.get_numer()?true:false;
  }
  int first_num=first.get_denom();
  int second_num=second.get_denom();
  int lcm=(first_num*second_num)/gcd(first_num,second_num);
  int first_new_numerator=(lcm/first_num)*first.get_numer();
  int second_new_numerator=(lcm/second_num)*second.get_numer();

  return first_new_numerator<second_new_numerator?true:false;
}

Lo que hace es verificar si los denominadores son iguales si son, entonces prueba los valores de los numeradores. Si no son iguales, los iguala con el mínimo común de múltiplos y gcd.

El problema real comienza cuando quiero usar el algoritmo de clasificación en main (error de tiempo de compilación). Aquí está el código principal:

Fraction parse_fraction(string& input)
{

  stringstream fraction_string(input);
  int numer;
  fraction_string>>numer;
  char seperator;
  fraction_string>>seperator;
  int denom;
  fraction_string>>denom;

  return Fraction(numer,denom);
}


int main()
{
  vector<Fraction> fractions;
  string input;
  while(cin>>input)
  {
    if(input=="|") break;
    fractions.push_back(parse_fraction(input));
  }

  sort(fractions.begin(),fractions.end);

  for(int i=0;i<fractions.size();i++)
  {
    cout<<fractions[i];
  }

  return 0;
}

Los errores que recibo son (Nota: He sobrecargado correctamente el operador "<<" para las fracciones, pero no quiero hacer el desorden aquí):

/usr/include/c++/4.6/bits/stl_algo.h||In function ‘_RandomAccessIterator std::__unguarded_partition(_RandomAccessIterator, _RandomAccessIterator, const _Tp&) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator<Fraction*, std::vector<Fraction> >, _Tp = Fraction]’:|

/usr/include/c++/4.6/bits/stl_algo.h:2253|70|instantiated from ‘_RandomAccessIterator std::__unguarded_partition_pivot(_RandomAccessIterator, _RandomAccessIterator) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator<Fraction*, std::vector<Fraction> >]’|

/usr/include/c++/4.6/bits/stl_algo.h:2284|54|instantiated from ‘void std::__introsort_loop(_RandomAccessIterator, _RandomAccessIterator, _Size) [with _RandomAccessIterator = __gnu_cxx::__normal_iterator<Fraction*, std::vector<Fraction> >, _Size = long int]’|

/usr/include/c++/4.6/bits/stl_algo.h:5330|4|instantiated from ‘void std::sort(_RAIter, _RAIter) [with _RAIter = __gnu_cxx::__normal_iterator<Fraction*, std::vector<Fraction> >]’|

/home/vanio/Desktop/workspace/C++/Ordner/main.cpp:35|43|instantiated from here|

/usr/include/c++/4.6/bits/stl_algo.h|2212|error: no match for ‘operator<’ in ‘__first.__gnu_cxx::__normal_iterator<_Iterator, _Container>::operator* [with _Iterator = Fraction*, _Container = std::vector<Fraction>, __gnu_cxx::__normal_iterator<_Iterator, _Container>::reference = Fraction&]() < __pivot’|

/usr/include/c++/4.6/bits/stl_algo.h|2212|note: candidates are:|

/usr/include/c++/4.6/bits/stl_pair.h|207|note: template<class _T1, class _T2> bool std::operator<(const std::pair<_T1, _T2>&, const std::pair<_T1, _T2>&)|

/usr/include/c++/4.6/bits/stl_iterator.h|291|note: template<class _Iterator> bool std::operator<(const std::reverse_iterator<_Iterator>&, const std::reverse_iterator<_Iterator>&)|

/usr/include/c++/4.6/bits/stl_iterator.h|341|note: template<class _IteratorL, class _IteratorR> bool std::operator<(const std::reverse_iterator<_IteratorL>&, const std::reverse_iterator<_IteratorR>&)|

/usr/include/c++/4.6/bits/basic_string.h|2510|note: template<class _CharT, class _Traits, class _Alloc> bool std::operator<(const std::basic_string<_CharT, _Traits, _Alloc>&, const std::basic_string<_CharT, _Traits, _Alloc>&)|

/usr/include/c++/4.6/bits/basic_string.h|2522|note: template<class _CharT, class _Traits, class _Alloc> bool std::operator<(const std::basic_string<_CharT, _Traits, _Alloc>&, const _CharT*)|

/usr/include/c++/4.6/bits/basic_string.h|2534|note: template<class _CharT, class _Traits, class _Alloc> bool std::operator<(const _CharT*, const std::basic_string<_CharT, _Traits, _Alloc>&)|

/usr/include/c++/4.6/bits/stl_vector.h|1290|note: template<class _Tp, class _Alloc> bool std::operator<(const std::vector<_Tp, _Alloc>&, const std::vector<_Tp, _Alloc>&)|

/home/vanio/Desktop/workspace/C++/Ordner/Fraction.h|39|note: bool operator<(Fraction&, Fraction&)|

/home/vanio/Desktop/workspace/C++/Ordner/Fraction.h|39|note:   no known conversion for argument 2 from ‘const Fraction’ to ‘Fraction&’|

/usr/include/c++/4.6/bits/stl_algo.h|2215|error: no match for ‘operator<’ in ‘__pivot < __last.__gnu_cxx::__normal_iterator<_Iterator, _Container>::operator* [with _Iterator = Fraction*, _Container = std::vector<Fraction>, __gnu_cxx::__normal_iterator<_Iterator, _Container>::reference = Fraction&]()’|

/usr/include/c++/4.6/bits/stl_algo.h|2215|note: candidates are:|

/usr/include/c++/4.6/bits/stl_pair.h|207|note: template<class _T1, class _T2> bool std::operator<(const std::pair<_T1, _T2>&, const std::pair<_T1, _T2>&)|

/usr/include/c++/4.6/bits/stl_iterator.h|291|note: template<class _Iterator> bool std::operator<(const std::reverse_iterator<_Iterator>&, const std::reverse_iterator<_Iterator>&)|

/usr/include/c++/4.6/bits/stl_iterator.h|341|note: template<class _IteratorL, class _IteratorR> bool std::operator<(const std::reverse_iterator<_IteratorL>&, const std::reverse_iterator<_IteratorR>&)|

/usr/include/c++/4.6/bits/basic_string.h|2510|note: template<class _CharT, class _Traits, class _Alloc> bool std::operator<(const std::basic_string<_CharT, _Traits, _Alloc>&, const std::basic_string<_CharT, _Traits, _Alloc>&)|

/usr/include/c++/4.6/bits/basic_string.h|2522|note: template<class _CharT, class _Traits, class _Alloc> bool std::operator<(const std::basic_string<_CharT, _Traits, _Alloc>&, const _CharT*)|

/usr/include/c++/4.6/bits/basic_string.h|2534|note: template<class _CharT, class _Traits, class _Alloc> bool std::operator<(const _CharT*, const std::basic_string<_CharT, _Traits, _Alloc>&)|

/usr/include/c++/4.6/bits/stl_vector.h|1290|note: template<class _Tp, class _Alloc> bool std::operator<(const std::vector<_Tp, _Alloc>&, const std::vector<_Tp, _Alloc>&)|

/home/vanio/Desktop/workspace/C++/Ordner/Fraction.h|39|note: bool operator<(Fraction&, Fraction&)|

/home/vanio/Desktop/workspace/C++/Ordner/Fraction.h|39|note:   no known conversion for argument 1 from ‘const Fraction’ to ‘Fraction&’|
||=== Build finished: 22 errors, 0 warnings ===|