Number theory in FE!



  • Set A=NA=\mathbb{N^*}
    Find all functions f:AAf:A\to A so that
    pgcd(x;f(y)).ppcm(f(x);y)=pgcd(x;y).ppcm(f(x);f(y))pgcd(x;f(y)).ppcm(f(x);y)=pgcd(x;y).ppcm(f(x);f(y))


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