On 08/17/2010 11:44 PM, Baba wrote: > On Aug 16, 6:28 pm, "cbr...@cbrownsystems.com" > <cbr...@cbrownsystems.com> wrote: > >> First, suppose d = gcd(x, y, z); then for some x', y', z' we have that >> x = d*x', y = d*y', z = d*z'; and so for any a, b, c: >> > > > could you explain the notation? > > what is the difference btw x and x' ? > > what is x = d*x', y supposed to say? > >
gcd(x,y,z) determines the greates number by which all three numbers can be devided. 2,4,6 for example are all divided by 2 thus d=2 now you dived x,y,z by d and call them x' , y' , z' The point is if x,y,z have a gcd grater than one, then you know for sure, that you will never be able to find the a finit greates amount, which cannot be bought if xmymz are all divisible by d, then any combination will also be dividible by d thas any number not dividible by d ( for d > 1) for example n*d + 1 can not be bought -- http://mail.python.org/mailman/listinfo/python-list