f(14,52)
Source:
March 18, 2006
functionnumber theoryleast common multiplealgorithmEuclidean algorithm
Problem Statement
The function , defined on the set of ordered pairs of positive integers, satisfies the following properties:
\begin{eqnarray*} f(x,x) &=& x, \\ f(x,y) &=& f(y,x), \text{and} \\ (x + y) f(x,y) &=& yf(x,x + y). \end{eqnarray*}
Calculate .