Powering an Arduino Uno

Do the LEDs really have a 3.3V forward voltage? In that case you are limited to one per pin. I think some external circuitry is starting to look good here.

Having a look at the data sheet is always good.
I just picked any Kingbright UV LED (rated VF typ 3.8 max 4.2 V @20mA), which seems to support Nick's Statement.
I'm only right with my assumption about the resulting current to be less than 20 mA :wink:
According to the attached diagram it should be around 0.0x mA @2.5V (which would not harm the Arduino), and the voltage drop would typically vary only by 0.7V with a current variation of 5 to 25 mA.
I fully agree with Nick that "external circuitry is starting to look good here". It increases the possible scenarios a lot.
My approach however is rather experimenting with what you have got already, and experience the encountered limits.

UV_LED.png