Solve the equation: $$ \frac{xy}{z}+\frac{yz}{x}+\frac{zx}{y}=3$$where $x$, $y$ and $z$ are integers
Problem
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014
Tags: equaion, number theory
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2014
Tags: equaion, number theory
Solve the equation: $$ \frac{xy}{z}+\frac{yz}{x}+\frac{zx}{y}=3$$where $x$, $y$ and $z$ are integers