WASHINGTON (AP) - Mitt Romney laid claim to the fiercely contested Republican presidential nomination Tuesday night with a fistful of primary triumphs, then urged all who struggle in a shaky U.S. economy to "hold on a little longer, a better America begins tonight." Eager to turn the political page to the general election, Romney accused President Barack Obama of "false promises and weak leadership." He declared, "Everywhere I go, Americans are tired of being tired, and many of those who are fortunate enough to have a job are working harder for less." The former Massachusetts governor spoke as he swept primaries in Connecticut, Rhode Island, Delaware, Pennsylvania and New York, the first since Rick Santorum conceded the nomination. Romney, speaking to cheering supporters, in New Hampshire, said, "The last few years have been the best Barack Obama can do, but it's not the best America can do." He delivered his remarks to a national television audience as well from the state where he won his first primary of the campaign and one of about a dozen states expected to be battlegrounds in the summer and fall campaign for the White House.