N.H. Rev. Stat. Ann. § 669:60

In determining the results of any election by unofficial ballot, the whole number of persons voting for any office shall first be ascertained and then the vote for each candidate seeking said office. In order to win an office by unofficial ballot, a candidate must receive a majority of the votes cast for a certain office. In the case that more than one candidate receives a majority, the candidates with the largest majority of votes for the positions available shall be declared elected. In the event that 2 candidates receive an equal number of votes such that a winner cannot be determined, another balloting shall be taken.