olymmath

NMC 2023 Problem 2

    Find all functions f:N→Nf: \mathbb{N} \to \mathbb{N} such that gcd⁡(f(x),y)f(xy)=f(x)f(y)\gcd(f(x),y)f(xy)=f(x)f(y) for all positive integers x,yx, y .

    Dataset text AI-MO AoPS. Quoted with source.

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