have great fun = have a good time, 没有任何区别。
B. had great fun.
你的其他选项被排除,与fun, great time 本身没有关系,而与前面的修饰语表达错误有关,修改后,其他3个都可以正确,语义也丝毫不会改变:
A. had great fun ( fun, /u/, get rid of " a" )
C. had a great time ( a great time, / c/, " a" is a must here.)
D. had a lot of fun/ had lots of fun. ( we say either " a lot of..." or " lots of...)
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