Description

From the Esolangs wiki,

In Fractran,

• a program consists of a finite list of positive, rational numbers.
• The input to a program is a positive integer n.
• The list is then searched in order, for a rational number $p/q$ such that $n×p/q$ is an integer.
• Then n is replaced by $n×p/q$ and the search is restarted from the beginning of the list.
• The program halts when no such number $p/q$ can be found, and the final n becomes the output from the program.
• Output the final value of $n$.

Your task is to implement an interpreter for this language.

Input

You are to take two inputs:

• $n$, an integer
• $A$, an array of fractions, which may be taken as a list of pairs, or in the rational datatype of your language.

Output

A single integer, the final value of $n$.

Test Cases

Formatted as

program
input
output

78/55, 5/3, 1/5, 11/2, 5/7
1096135733
328842888196762472689573703

3/2
1296
6561

455/33, 11/13, 1/11, 3/7, 11/2, 1/3
72
15625

posted almost 3 years ago

CC BY-SA 4.0

3y ago

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