Hi Kyle,
on the bottom of the unit (XDJ-1000) you should see the technical specifics for the power Connection. Mine is purchased in Germany and it says 110 to 240 Volt. Yours should be the same, I don't think Pioneer produces different Units for the different markets. These days power supplys can deal with the different power provided if constructed that way.
In case your unit is showing the same specification a simple power Adapter or a new cable should work fine.
However I don't guanrantee that... :-)
In regards to the DJM-600 I don't know as this is an older unit I think you should have a look by yourself....
Hope that helps.
Frank