package main

import (
	"bufio"
	"fmt"
	"os"
)

func ceilDiv(x, y uint64) uint64 {
	return (x + y - 1) / y
}

func main() {
	in := bufio.NewReader(os.Stdin)
	out := bufio.NewWriter(os.Stdout)
	defer out.Flush()

	var t int
	if _, err := fmt.Fscan(in, &t); err != nil {
		return
	}
	for ; t > 0; t-- {
		var a, b, m uint64
		fmt.Fscan(in, &a, &b, &m)
		L := m + 1
		ans := ceilDiv(L, a) + ceilDiv(L, b)
		fmt.Fprintln(out, ans)
	}
}