1到9乘除加得1？？ 如果用PHP编个程序应该怎么做呢？？

Question

有这个可能吗?如果是a%(b*c)+d%(e*f)+g%(h*n)还有可能.

Answer 1

用a从1-9遍历，b也一样 ，这样最大循环次数为
a b c d e f g h n 9*8*7*6*5*4*3*2*1 次 好像很多哦。其实也不多 362880次结果1/(3*6)+5/(8*9)+7/(2*4)=1算法与代码参见：http://www.web1357.cn/post/php_compute_1.html

Answer 2

答案我知道了  我想知道算法  ghjhot 给的网址打不开啊   你说的遍历这个思想我也明白
可是自己没写出来   我是个新手  想多学点东西   能不能帮贴出来啊  谢谢了

Answer 3

3楼写的:
<?php
$M = array();for($a=1;$a<10;$a++){  
  for($b=1;$b<10;$b++){
    if($a==$b)continue;
    for($c=1;$c<10;$c++){
      $M = array();
      array_push($M,$a);      
      if(in_array($b, $M)==true)continue;  array_push($M,$b);      
      if(in_array($c, $M)==true)continue;  array_push($M,$c);
      for($d=1;$d<10;$d++){
        $M = array();
        array_push($M,$a);      
        if(in_array($b, $M)==true)continue;  array_push($M,$b);      
        if(in_array($c, $M)==true)continue;  array_push($M,$c);
        if(in_array($d, $M)==true)continue;  array_push($M,$d);
        for($e=1;$e<10;$e++){
            $M = array();
            array_push($M,$a);      
            if(in_array($b, $M)==true)continue;  array_push($M,$b);      
            if(in_array($c, $M)==true)continue;  array_push($M,$c);
            if(in_array($d, $M)==true)continue;  array_push($M,$d);
            if(in_array($e, $M)==true)continue;  array_push($M,$e);
          for($f=1;$f<10;$f++){          
            $M = array();
            array_push($M,$a);      
            if(in_array($b, $M)==true)continue;  array_push($M,$b);      
            if(in_array($c, $M)==true)continue;  array_push($M,$c);
            if(in_array($d, $M)==true)continue;  array_push($M,$d);
            if(in_array($e, $M)==true)continue;  array_push($M,$e);
            if(in_array($f, $M)==true)continue;  array_push($M,$f);
            for($g=1;$g<10;$g++){
              $M = array();
              array_push($M,$a);      
              if(in_array($b, $M)==true)continue;  array_push($M,$b);      
              if(in_array($c, $M)==true)continue;  array_push($M,$c);
              if(in_array($d, $M)==true)continue;  array_push($M,$d);
              if(in_array($e, $M)==true)continue;  array_push($M,$e);
              if(in_array($f, $M)==true)continue;  array_push($M,$f);
              if(in_array($g, $M)==true)continue;  array_push($M,$g);              for($h=1;$h<10;$h++){
                $M = array();
                array_push($M,$a);      
                if(in_array($b, $M)==true)continue;  array_push($M,$b);      
                if(in_array($c, $M)==true)continue;  array_push($M,$c);
                if(in_array($d, $M)==true)continue;  array_push($M,$d);
                if(in_array($e, $M)==true)continue;  array_push($M,$e);
                if(in_array($f, $M)==true)continue;  array_push($M,$f);
                if(in_array($g, $M)==true)continue;  array_push($M,$g);
                if(in_array($h, $M)==true)continue;  array_push($M,$h);                for($n=1;$n<10;$n++){
                  $M = array();
                  array_push($M,$a);      
                  if(in_array($b, $M)==true)continue;  array_push($M,$b);      
                  if(in_array($c, $M)==true)continue;  array_push($M,$c);
                  if(in_array($d, $M)==true)continue;  array_push($M,$d);
                  if(in_array($e, $M)==true)continue;  array_push($M,$e);
                  if(in_array($f, $M)==true)continue;  array_push($M,$f);
                  if(in_array($g, $M)==true)continue;  array_push($M,$g);
                  if(in_array($h, $M)==true)continue;  array_push($M,$h);
                  if(in_array($n, $M)==true)continue;  array_push($M,$n);
                    
                    if($a/($b*$c)+$d/($e*$f)+$g/($h*$n) ==1){    
                      echo $a;
                      echo "/(";
                      echo $b;
                      echo "*";
                      echo $c;
                      echo ")+";
                      echo $d;
                      echo "/(";
                      echo $e;
                      echo "*";
                      echo $f;
                      echo ")+";
                      echo $g;
                      echo "/(";
                      echo $h;
                      echo "*";
                      echo $n;
                      echo ")=1";
                      exit;
                    }
                }
              }
            }
          }
        }
      }
    }
  }
}
?>