Hi, Bob,
Both of the SWDIO and SWDCLK signals have on-chip pull-up resistors as the following Fig from UM11155.pdf, so I think it is okay not to use any any external resistors.
But I have checked the schematics of LPC540xx, the SWDIO pin is connected with a 100K ohm resistor, so I think you can connect a 100K ohm resistor or not for the SWDIO pin, for the SWDCLK, it is unnecessary to connect any resistor.
Hope it can help you
BR
XiangJun Rong
