china, didn't support in nuclear it is Russian. You need to ask yourself such as question: what are opportunity for Chine, if we NK launched on SK, or Japan? Also need to understand Chine have traded with Japan and SK instead of Russian. Also NK could to use Nuclear only in Japan Sea and Yellow Sea, But it is a trade way with SK.
China has enemies around it with India, Vietnam, Taiwan, Japan, South Korea, Australia, New Zealand and so on. And it hates Japan with a passion. If it can get rid of even one country without blood on its sword, it might.