\\ FRACTRAN
\\ 4/27/16 aev
fractran(val,ft,lim)={
my(ftn=#ft,fti,di,L=List(),j=0);
while(val&&j<lim, listput(L,val);
  for(i=1,ftn, fti=ft[i]; di=denominator(fti);
      if(val%di==0, break));\\fend i
  val= numerator(fti)*val/di; j++);\\wend j
return(Vec(L));
}

{\\ Executing:
my(v=[17/91,78/85,19/51,23/38,29/33,77/29,95/23,77/19,1/17,11/13,13/11,15/14,15/2,55/1]);
print(fractran(2,v,15));
}