GCD and LCM Integer Functions
Greatest common divisor and least common multiple
gcd(a, b, extended = FALSE) Lcm(a, b)
a, b |
vectors of integers. |
extended |
logical; if |
Computation based on the extended Euclidean algorithm.
If both a
and b
are vectors of the same length, the greatest
common divisor/lowest common multiple will be computed elementwise.
If one is a vektor, the other a scalar, the scalar will be replicated to
the same length.
A numeric (integer) value or vector of integers. Or a list of three vectors
named c, d, g
, g containing the greatest common divisors, such that
g = c * a + d * b
.
The following relation is always true:
n * m = gcd(n, m) * lcm(n, m)
numbers::extGCD
gcd(12, 1:24) gcd(46368, 75025) # Fibonacci numbers are relatively prime to each other Lcm(12, 1:24) Lcm(46368, 75025) # = 46368 * 75025
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