data/problems/303.yml
---
:id: 303
:name: Multiples with small digits
:url: https://projecteuler.net/problem=303
:content: |+
For a positive integer <var>n</var>, define <var>f</var>(<var>n</var>) as the least positive multiple of <var>n</var> that, written in base 10, uses only digits ≤ 2.
Thus <var>f</var>(2)=2, <var>f</var>(3)=12, <var>f</var>(7)=21, <var>f</var>(42)=210, <var>f</var>(89)=1121222.
Also, ![p303_formula100.gif]({{ images_dir }}/p303_formula100.gif).
Find ![p303_formula10000.gif]({{ images_dir }}/p303_formula10000.gif).