The characters in the full phrase when read individually mean:
• 韓/한: Korean
• 國/국: nation
• 飲/음: drink
• 食/식: eat
Korean eats→Korean food→Korean cuisine
since 한국 is southern name for Korea, how would be Korean food in North Korea? 조선식?
Oh, hello me from the past!
In the North, they usually say '조선료리' (료리 in the Northern version of word 요리)