Hungary here. Can't remember the exact wording of the law, but most employers only give out full days. Employers have a lot of control over when paid time off can be taken, as long as the legally mandated requirement (at least 20 days plus other conditions every year) is met.

My previous job, where I did rotating night shifts, counted the days that coincided with the start of the shift: if I had a paid day off on a Tuesday on a night shift week, I'd work from Monday 22:00 to Tuesday 6:00, stay at home on Tuesday, and start my next shift on Wednesday at 22:00 (just a hypothetical, I always tried to take full weeks).

I also fully recognize that I have a fairly generous employer. I don't think my experience is representative of most Americans.