# Find the smallest group of numbers with sum bigger then \$X\$

Given a list of numbers $$S$$ where $$0 < s_i < 100$$, find the smallest group of numbers with sum bigger than $$X$$.
Each number can be used multiple times.

Ex: for $$S = [3,4.1], X = 10$$ the solution is $$[3, 3, 4.1]$$

Is it a known problem? What will be the best way of solving it?

For now, my best solution is to randomly pick numbers and repeat the process multiple times.