Ugly Numbers
Detailed guide and Python implementation for the 'Ugly Numbers' problem.
Problem Statement
Write a function nth_ugly_number(n) that returns the nth ugly number. Ugly numbers are positive numbers whose only prime factors are 2, 3, or 5. By convention, 1 is treated as an ugly number.
- •1 <= n <= 500
Examples
nth_ugly_number(10)
12
The first 10 ugly numbers are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12.
nth_ugly_number(15)
24
The first 15 ugly numbers are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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