Kata

Common denominators

You will have a list of rationals in the form

{ {numer_1, denom_1} , ... {numer_n, denom_n} } 
or
[ [numer_1, denom_1] , ... [numer_n, denom_n] ] 
or
[ (numer_1, denom_1) , ... (numer_n, denom_n) ] 

where all numbers are positive ints. You have to produce a result in the form:

(N_1, D) ... (N_n, D) 
or
[ [N_1, D] ... [N_n, D] ] 
or
[ (N_1', D) , ... (N_n, D) ] 
or
{{N_1, D} ... {N_n, D}} 
or
"(N_1, D) ... (N_n, D)"

depending on the language (See Example tests) in which D is as small as possible and

N_1/D == numer_1/denom_1 ... N_n/D == numer_n,/denom_n.

Example:

convertFracs [(1, 2), (1, 3), (1, 4)] `shouldBe` [(6, 12), (4, 12), (3, 12)]

Note:

Due to the fact that the first translations were written long ago - more than 6 years - these first translations have only irreducible fractions.

Newer translations have some reducible fractions. To be on the safe side it is better to do a bit more work by simplifying fractions even if they don't have to be.

Note for Bash:

input is a string, e.g "2,4,2,6,2,8" output is then "6 12 4 12 3 12"