Algorithm and data structure, computer programming, Programming Languages

Man, i''m having quite a problem with this exercise. Even googled for Roman multiply table concept.
I just don''t get it.

Multiply two numbers given in Roman figures. For instance, XIX times
XXIV is CDLVI. You may NOT use a method that involves translating the numbers into Arabic
notation, multiplying them and translating back. Devise an algorithm for this problem.

FYI:
XIX (19) times XXIV (24) = CDLVI (456)

how can i devise an algorithm for this? Please help.

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