off to China on 23 dec,leave for north korea on 28,dec, back in china on 2 jan, to tokyo on 3 jan

i leave to go back to the u.k on the 8th or 9th jan . what type would i need ? how much would it cost int total including everything ? and how do i apply. some sites seem to suggest it is about 270 for a multiple visa which is what i think i need ?