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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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Time complexity of finding the GCD of a set S as a function of sum(S)
Finding greatest common divisor ($gcd$) of two numbers of length $k$ takes $O(k)$ time. Suppose that all the numbers have equal length $k$, then complexity will be $O(nk)$, which is $O(n \log(\frac{S} …