Yechiel Michel Epstein,
Translation:Arukh ha-Shulchan…
“ Section 1 On Hanukkah, we do the complete Hallel prayer, because every day a miracle occurred through that one jug of oil. And furthermore: Since every day the candles differ (one is added each night) when following the practice of Mehadrin min Hamehadrin, it becomes like Sukkot, where the offerings differed each day and the complete Hallel is therefore recited. ”
