| GCD, LCM {DescTools} | R Documentation |
Greatest Common Divisor and Least Common Multiple
Description
Calculates the greatest common divisor (GCD) and least common multiple (LCM) of all the values present in its arguments.
Usage
GCD(..., na.rm = FALSE)
LCM(..., na.rm = FALSE)
Arguments
... |
integer or logical vectors. |
na.rm |
logical. Should missing values (including NaN) be removed? |
Details
The computation is based on the Euclidean algorithm without using the extended
version.The greatest common divisor for
all numbers in the integer vector x will be computed (the multiple GCD).
Value
A numeric (integer) value.
Note
The following relation is always true:
n * m = GCD(n, m) * LCM(n, m)
Author(s)
Dirk Eddelbuettel <edd@debian.org> (RCPP part), Andri Signorell <andri@signorell.net>, originally based on code in package numbers by Hans W Borchers <hwborchers@googlemail.com>
References
Eddelbuettel, D. (2013). Seamless R and C++ Integration with Rcpp. New York, NY: Springer.
See Also
Examples
GCD(12, 10)
GCD(144, 233) # Fibonacci numbers are relatively prime to each other
LCM(12, 10)
LCM(144, 233) # = 144 * 233
# all elements will be flattened by unlist
GCD(2, 3, c(5, 7) * 11)
GCD(c(2*3, 3*5, 5*7))
LCM(c(2, 3, 5, 7) * 11)
LCM(2*3, 3*5, 5*7)