have a good time 和have a hard time后接to do ,doing?

“have a good time ”和“have a hard time”后接“doing sth.”
此外包括“have a great time”“have a difficult time”
等形式的词组后都跟“doing sth. ”

have a good / hard time 后应接doing sth.为分词短语作定语（其前实际上省略了介词in)，意为“度过了做某事的快乐/艰难时光”。

doing

是doing sth还有就是time后面省略了with

doing sth

doing