Hungary does not use EUR and the currency is Hungarian Forint (HUF). Approx you can buy 295 HUF for 1 EUR.
The problem is most the ATMs operated by OTP bank, Unicredit, Raiffeisen dispense only the local forints and it could be goose chase, searching for an ATM dispensing Euros.
There is one OTP Bank ATM i have seen, near Deak Ferenc on the way to the vorosmarty towards river, which dispense euros. This is the only ATM i have used for taking out euros.
i guess this small information would be pretty useful for tourists and travelers. You might want to have euros (not forints) in hand if you are flying out of Hungary
Enjoy your trip.