Gaussianos

Calcula el valor de A

Un problema sobre números naturales:

Sean x, \; y números naturales, x,y > 1, tales que mcd(x,y)=1. Hallar justificadamente el valor de:

A=\left ( \left \lfloor\cfrac{x}{y} \right \rfloor + \left \lfloor \cfrac{2x}{y} \right \rfloor + \ldots + \left \lfloor \cfrac{(y-1)x}{y} \right \rfloor \right ) - \left ( \left \lfloor \cfrac{y}{x} \right \rfloor + \left \lfloor \cfrac{2y}{x} \right \rfloor+ \ldots + \left \lfloor \cfrac{(x-1)y}{x} \right \rfloor \right )


This entry was posted on Tuesday, September 16th, 2008 at 09:00 and is filled under: Juegos