Does the move keep going? Does the Pokemon use Struggle? Or does the move just end?
If Cursed Body disables a Multi-Strike move before it has finished all of its hits, it will NOT prevent the other hits from being executed. Bulpapedia
So the multi-hit move will finish, then the move will be Disabled. Source: https://m.bulbapedia.bulbagarden.net/wiki/Cursed_Body_(Ability)