S.D. Codified Laws § 7-25-17
In any county where there is no courthouse or jail erected by the county, or no lodging for prisoners provided under a joint agreement pursuant to § 24-11-4, or where those erected have not sufficient capacity, it shall be the duty of the board of county commissioners to provide for courtroom, jail, and offices for the following named officers: sheriff, treasurer, register of deeds, state's attorney, auditor, clerk of courts, and circuit court judge for the county, to be furnished by such county in a suitable building or buildings for the lowest rent to be obtained at the county seat, or to secure and occupy suitable rooms at a free rent within the limits of the county seat or any of the additions thereto until such county builds a courthouse.
SDCL 7-25-17